What is the Least Common Multiple of 40624 and 40630?

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 40630 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 40630, than apply into the LCM equation.

GCF(40624,40630) = 2
LCM(40624,40630) = ( 40624 × 40630) / 2
LCM(40624,40630) = 1650553120 / 2
LCM(40624,40630) = 825276560

Least Common Multiple (LCM) of 40624 and 40630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40624 and 40630. First we will calculate the prime factors of 40624 and 40630.

Prime Factorization of 40624

Prime Factorization of 40630

Now multiplying the highest exponent prime factors to calculate the LCM of 40624 and 40630.

LCM(40624,40630) = 2⁴ × 2539¹ × 5¹ × 17¹ × 239¹
LCM(40624,40630) = 825276560