What is the Least Common Multiple of 58076 and 58087?

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 58076 and 58087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58076 and 58087, than apply into the LCM equation.

GCF(58076,58087) = 1
LCM(58076,58087) = ( 58076 × 58087) / 1
LCM(58076,58087) = 3373460612 / 1
LCM(58076,58087) = 3373460612

Least Common Multiple (LCM) of 58076 and 58087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58076 and 58087. First we will calculate the prime factors of 58076 and 58087.

Prime Factorization of 58076

Prime Factorization of 58087

Now multiplying the highest exponent prime factors to calculate the LCM of 58076 and 58087.

LCM(58076,58087) = 2² × 14519¹ × 29¹ × 2003¹
LCM(58076,58087) = 3373460612