What is the Least Common Multiple of 83256 and 83264?

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 83256 and 83264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83256 and 83264, than apply into the LCM equation.

GCF(83256,83264) = 8
LCM(83256,83264) = ( 83256 × 83264) / 8
LCM(83256,83264) = 6932227584 / 8
LCM(83256,83264) = 866528448

Least Common Multiple (LCM) of 83256 and 83264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83256 and 83264. First we will calculate the prime factors of 83256 and 83264.

Prime Factorization of 83256

Prime Factorization of 83264

Now multiplying the highest exponent prime factors to calculate the LCM of 83256 and 83264.

LCM(83256,83264) = 2⁶ × 3¹ × 3469¹ × 1301¹
LCM(83256,83264) = 866528448