What is the Least Common Multiple of 58628 and 58646?

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 58628 and 58646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58628 and 58646, than apply into the LCM equation.

GCF(58628,58646) = 2
LCM(58628,58646) = ( 58628 × 58646) / 2
LCM(58628,58646) = 3438297688 / 2
LCM(58628,58646) = 1719148844

Least Common Multiple (LCM) of 58628 and 58646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58628 and 58646. First we will calculate the prime factors of 58628 and 58646.

Prime Factorization of 58628

Prime Factorization of 58646

Now multiplying the highest exponent prime factors to calculate the LCM of 58628 and 58646.

LCM(58628,58646) = 2² × 14657¹ × 7¹ × 59¹ × 71¹
LCM(58628,58646) = 1719148844