What is the Least Common Multiple of 6076 and 6081?

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 6081 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 6081, than apply into the LCM equation.

GCF(6076,6081) = 1
LCM(6076,6081) = ( 6076 × 6081) / 1
LCM(6076,6081) = 36948156 / 1
LCM(6076,6081) = 36948156

Least Common Multiple (LCM) of 6076 and 6081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6076 and 6081. First we will calculate the prime factors of 6076 and 6081.

Prime Factorization of 6076

Prime Factorization of 6081

Now multiplying the highest exponent prime factors to calculate the LCM of 6076 and 6081.

LCM(6076,6081) = 2² × 7² × 31¹ × 3¹ × 2027¹
LCM(6076,6081) = 36948156