What is the Least Common Multiple of 58492 and 58504?

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 58492 and 58504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58492 and 58504, than apply into the LCM equation.

GCF(58492,58504) = 4
LCM(58492,58504) = ( 58492 × 58504) / 4
LCM(58492,58504) = 3422015968 / 4
LCM(58492,58504) = 855503992

Least Common Multiple (LCM) of 58492 and 58504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58492 and 58504. First we will calculate the prime factors of 58492 and 58504.

Prime Factorization of 58492

Prime Factorization of 58504

Now multiplying the highest exponent prime factors to calculate the LCM of 58492 and 58504.

LCM(58492,58504) = 2³ × 7¹ × 2089¹ × 71¹ × 103¹
LCM(58492,58504) = 855503992