What is the Least Common Multiple of 6076 and 6096?

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 6096 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 6096, than apply into the LCM equation.

GCF(6076,6096) = 4
LCM(6076,6096) = ( 6076 × 6096) / 4
LCM(6076,6096) = 37039296 / 4
LCM(6076,6096) = 9259824

Least Common Multiple (LCM) of 6076 and 6096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6076 and 6096. First we will calculate the prime factors of 6076 and 6096.

Prime Factorization of 6076

Prime Factorization of 6096

Now multiplying the highest exponent prime factors to calculate the LCM of 6076 and 6096.

LCM(6076,6096) = 2⁴ × 7² × 31¹ × 3¹ × 127¹
LCM(6076,6096) = 9259824