What is the Least Common Multiple of 81624 and 81633?

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 81624 and 81633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81624 and 81633, than apply into the LCM equation.

GCF(81624,81633) = 3
LCM(81624,81633) = ( 81624 × 81633) / 3
LCM(81624,81633) = 6663211992 / 3
LCM(81624,81633) = 2221070664

Least Common Multiple (LCM) of 81624 and 81633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81624 and 81633. First we will calculate the prime factors of 81624 and 81633.

Prime Factorization of 81624

Prime Factorization of 81633

Now multiplying the highest exponent prime factors to calculate the LCM of 81624 and 81633.

LCM(81624,81633) = 2³ × 3¹ × 19¹ × 179¹ × 27211¹
LCM(81624,81633) = 2221070664