What is the Least Common Multiple of 6076 and 6089?

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 6076 and 6089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6076 and 6089, than apply into the LCM equation.

GCF(6076,6089) = 1
LCM(6076,6089) = ( 6076 × 6089) / 1
LCM(6076,6089) = 36996764 / 1
LCM(6076,6089) = 36996764

Least Common Multiple (LCM) of 6076 and 6089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6076 and 6089. First we will calculate the prime factors of 6076 and 6089.

Prime Factorization of 6076

Prime Factorization of 6089

Now multiplying the highest exponent prime factors to calculate the LCM of 6076 and 6089.

LCM(6076,6089) = 2² × 7² × 31¹ × 6089¹
LCM(6076,6089) = 36996764