What is the Least Common Multiple of 76212 and 76231?

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 76212 and 76231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76212 and 76231, than apply into the LCM equation.

GCF(76212,76231) = 1
LCM(76212,76231) = ( 76212 × 76231) / 1
LCM(76212,76231) = 5809716972 / 1
LCM(76212,76231) = 5809716972

Least Common Multiple (LCM) of 76212 and 76231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76212 and 76231. First we will calculate the prime factors of 76212 and 76231.

Prime Factorization of 76212

Prime Factorization of 76231

Now multiplying the highest exponent prime factors to calculate the LCM of 76212 and 76231.

LCM(76212,76231) = 2² × 3² × 29¹ × 73¹ × 76231¹
LCM(76212,76231) = 5809716972