What is the Least Common Multiple of 43624 and 43631?

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 43624 and 43631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43624 and 43631, than apply into the LCM equation.

GCF(43624,43631) = 7
LCM(43624,43631) = ( 43624 × 43631) / 7
LCM(43624,43631) = 1903358744 / 7
LCM(43624,43631) = 271908392

Least Common Multiple (LCM) of 43624 and 43631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43624 and 43631. First we will calculate the prime factors of 43624 and 43631.

Prime Factorization of 43624

Prime Factorization of 43631

Now multiplying the highest exponent prime factors to calculate the LCM of 43624 and 43631.

LCM(43624,43631) = 2³ × 7¹ × 19¹ × 41¹ × 23¹ × 271¹
LCM(43624,43631) = 271908392