What is the Least Common Multiple of 40624 and 40633?

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 40624 and 40633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40624 and 40633, than apply into the LCM equation.

GCF(40624,40633) = 1
LCM(40624,40633) = ( 40624 × 40633) / 1
LCM(40624,40633) = 1650674992 / 1
LCM(40624,40633) = 1650674992

Least Common Multiple (LCM) of 40624 and 40633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40624 and 40633. First we will calculate the prime factors of 40624 and 40633.

Prime Factorization of 40624

Prime Factorization of 40633

Now multiplying the highest exponent prime factors to calculate the LCM of 40624 and 40633.

LCM(40624,40633) = 2⁴ × 2539¹ × 179¹ × 227¹
LCM(40624,40633) = 1650674992