What is the Least Common Multiple of 34624 and 34631?

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 34624 and 34631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34624 and 34631, than apply into the LCM equation.

GCF(34624,34631) = 1
LCM(34624,34631) = ( 34624 × 34631) / 1
LCM(34624,34631) = 1199063744 / 1
LCM(34624,34631) = 1199063744

Least Common Multiple (LCM) of 34624 and 34631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34624 and 34631. First we will calculate the prime factors of 34624 and 34631.

Prime Factorization of 34624

Prime Factorization of 34631

Now multiplying the highest exponent prime factors to calculate the LCM of 34624 and 34631.

LCM(34624,34631) = 2⁶ × 541¹ × 34631¹
LCM(34624,34631) = 1199063744