What is the Least Common Multiple of 84252 and 84264?

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 84252 and 84264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84252 and 84264, than apply into the LCM equation.

GCF(84252,84264) = 12
LCM(84252,84264) = ( 84252 × 84264) / 12
LCM(84252,84264) = 7099410528 / 12
LCM(84252,84264) = 591617544

Least Common Multiple (LCM) of 84252 and 84264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84252 and 84264. First we will calculate the prime factors of 84252 and 84264.

Prime Factorization of 84252

Prime Factorization of 84264

Now multiplying the highest exponent prime factors to calculate the LCM of 84252 and 84264.

LCM(84252,84264) = 2³ × 3¹ × 7¹ × 17¹ × 59¹ × 3511¹
LCM(84252,84264) = 591617544