What is the Least Common Multiple of 51222 and 51237?

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 51222 and 51237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51222 and 51237, than apply into the LCM equation.

GCF(51222,51237) = 3
LCM(51222,51237) = ( 51222 × 51237) / 3
LCM(51222,51237) = 2624461614 / 3
LCM(51222,51237) = 874820538

Least Common Multiple (LCM) of 51222 and 51237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51222 and 51237. First we will calculate the prime factors of 51222 and 51237.

Prime Factorization of 51222

Prime Factorization of 51237

Now multiplying the highest exponent prime factors to calculate the LCM of 51222 and 51237.

LCM(51222,51237) = 2¹ × 3² × 8537¹ × 5693¹
LCM(51222,51237) = 874820538