What is the Least Common Multiple of 66252 and 66264?

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 66252 and 66264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66252 and 66264, than apply into the LCM equation.

GCF(66252,66264) = 12
LCM(66252,66264) = ( 66252 × 66264) / 12
LCM(66252,66264) = 4390122528 / 12
LCM(66252,66264) = 365843544

Least Common Multiple (LCM) of 66252 and 66264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66252 and 66264. First we will calculate the prime factors of 66252 and 66264.

Prime Factorization of 66252

Prime Factorization of 66264

Now multiplying the highest exponent prime factors to calculate the LCM of 66252 and 66264.

LCM(66252,66264) = 2³ × 3¹ × 5521¹ × 11¹ × 251¹
LCM(66252,66264) = 365843544