What is the Least Common Multiple of 13538 and 13552?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 13538 and 13552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13538 and 13552, than apply into the LCM equation.

GCF(13538,13552) = 14
LCM(13538,13552) = ( 13538 × 13552) / 14
LCM(13538,13552) = 183466976 / 14
LCM(13538,13552) = 13104784

Least Common Multiple (LCM) of 13538 and 13552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13538 and 13552. First we will calculate the prime factors of 13538 and 13552.

Prime Factorization of 13538

Prime Factorization of 13552

Now multiplying the highest exponent prime factors to calculate the LCM of 13538 and 13552.

LCM(13538,13552) = 2⁴ × 7¹ × 967¹ × 11²
LCM(13538,13552) = 13104784