# LCM(77, 18) =

LCM(77, 18) =
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Heather Fulton
Step 1
We have to find the LCM of 77 and 18.
Step 2
The prime factorization of 77 is
$77=7×11$
The prime factorization of 18 is
$18=2×3×3$
Now we multiply each prime factor the greatest number of times it occurs in either sets to find the LCM.
(2 occurs 1 time, 3 occurs 2 times, 7 occurs 1 time and 11 occurs 1 time)
$LCM=2×3×3×7×11=1386$
Step 3
LCM(77, 18) = 1386

William Appel
(i)Find the prime factorization of 18
$18=2×3×3$
(ii)Find the prime factorization of 77
$77=7×11$
Multiply each factor the greater number of times it occurs in steps (i) or (ii) above to find the LCM:
$LCM=2×3×3×7×11$
LCM=1386