What is the Least Common Multiple of 21156 and 21174?

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 21174 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 21174, than apply into the LCM equation.

GCF(21156,21174) = 6
LCM(21156,21174) = ( 21156 × 21174) / 6
LCM(21156,21174) = 447957144 / 6
LCM(21156,21174) = 74659524

Least Common Multiple (LCM) of 21156 and 21174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21156 and 21174. First we will calculate the prime factors of 21156 and 21174.

Prime Factorization of 21156

Prime Factorization of 21174

Now multiplying the highest exponent prime factors to calculate the LCM of 21156 and 21174.

LCM(21156,21174) = 2² × 3¹ × 41¹ × 43¹ × 3529¹
LCM(21156,21174) = 74659524