What is the Least Common Multiple of 6252 and 6268?

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 6252 and 6268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6252 and 6268, than apply into the LCM equation.

GCF(6252,6268) = 4
LCM(6252,6268) = ( 6252 × 6268) / 4
LCM(6252,6268) = 39187536 / 4
LCM(6252,6268) = 9796884

Least Common Multiple (LCM) of 6252 and 6268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6252 and 6268. First we will calculate the prime factors of 6252 and 6268.

Prime Factorization of 6252

Prime Factorization of 6268

Now multiplying the highest exponent prime factors to calculate the LCM of 6252 and 6268.

LCM(6252,6268) = 2² × 3¹ × 521¹ × 1567¹
LCM(6252,6268) = 9796884