What is the Least Common Multiple of 21156 and 21172?

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 21156 and 21172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21156 and 21172, than apply into the LCM equation.

GCF(21156,21172) = 4
LCM(21156,21172) = ( 21156 × 21172) / 4
LCM(21156,21172) = 447914832 / 4
LCM(21156,21172) = 111978708

Least Common Multiple (LCM) of 21156 and 21172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21156 and 21172. First we will calculate the prime factors of 21156 and 21172.

Prime Factorization of 21156

Prime Factorization of 21172

Now multiplying the highest exponent prime factors to calculate the LCM of 21156 and 21172.

LCM(21156,21172) = 2² × 3¹ × 41¹ × 43¹ × 67¹ × 79¹
LCM(21156,21172) = 111978708