What is the Least Common Multiple of 7212 and 7231?

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 7212 and 7231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7212 and 7231, than apply into the LCM equation.

GCF(7212,7231) = 1
LCM(7212,7231) = ( 7212 × 7231) / 1
LCM(7212,7231) = 52149972 / 1
LCM(7212,7231) = 52149972

Least Common Multiple (LCM) of 7212 and 7231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7212 and 7231. First we will calculate the prime factors of 7212 and 7231.

Prime Factorization of 7212

Prime Factorization of 7231

Now multiplying the highest exponent prime factors to calculate the LCM of 7212 and 7231.

LCM(7212,7231) = 2² × 3¹ × 601¹ × 7¹ × 1033¹
LCM(7212,7231) = 52149972