What is the Least Common Multiple of 11154 and 11172?

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 11154 and 11172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11154 and 11172, than apply into the LCM equation.

GCF(11154,11172) = 6
LCM(11154,11172) = ( 11154 × 11172) / 6
LCM(11154,11172) = 124612488 / 6
LCM(11154,11172) = 20768748

Least Common Multiple (LCM) of 11154 and 11172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11154 and 11172. First we will calculate the prime factors of 11154 and 11172.

Prime Factorization of 11154

Prime Factorization of 11172

Now multiplying the highest exponent prime factors to calculate the LCM of 11154 and 11172.

LCM(11154,11172) = 2² × 3¹ × 11¹ × 13² × 7² × 19¹
LCM(11154,11172) = 20768748