Answer:
the lowest common multiple is 60
Step-by-step explanation:
The multiples of 12 are : 12, 24, 36, 48, 60, 72, 84,
The multiples of 15 are : 15, 30, 45, 60, 75, 90, ....
60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples.
Therefore, the lowest common multiple of 12 and 15 is 60.
Answer:
[tex]60[/tex]
Step-by-step explanation:
Least Common Multiplier (LCM)
The LCM of [tex]a,b[/tex] is the smallest positive number that is divisible by both [tex]a[/tex] and [tex]b[/tex]
Prime factorization of [tex]12[/tex]
[tex]12[/tex]
[tex]12[/tex] divides by [tex]2[/tex] [tex]12=6*2[/tex]
[tex]=2*6[/tex]
[tex]6[/tex] divides by [tex]2[/tex] [tex]6=3*2[/tex]
[tex]2,3[/tex] are both prime numbers, therefore no further factorization is possible
[tex]=2*2*3[/tex]
Prime factorization of [tex]15[/tex]
[tex]15[/tex]
[tex]15[/tex] divides by [tex]3[/tex] [tex]15=5*3[/tex]
[tex]3,5[/tex] are both prime numbers, therefore no further factorization is possible
Multiply each factor the greatest number of times it occurred in either [tex]12[/tex] or [tex]15[/tex]
[tex]=2*2*3*5[/tex]
Multiply the numbers: [tex]2*2*3*5=60[/tex]
[tex]=60[/tex]
