What is the Least Common Multiple of 58624 and 58640?

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 58624 and 58640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58624 and 58640, than apply into the LCM equation.

GCF(58624,58640) = 16
LCM(58624,58640) = ( 58624 × 58640) / 16
LCM(58624,58640) = 3437711360 / 16
LCM(58624,58640) = 214856960

Least Common Multiple (LCM) of 58624 and 58640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58624 and 58640. First we will calculate the prime factors of 58624 and 58640.

Prime Factorization of 58624

Prime Factorization of 58640

Now multiplying the highest exponent prime factors to calculate the LCM of 58624 and 58640.

LCM(58624,58640) = 2⁸ × 229¹ × 5¹ × 733¹
LCM(58624,58640) = 214856960