What is the Least Common Multiple of 77076 and 77088?

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 77076 and 77088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77076 and 77088, than apply into the LCM equation.

GCF(77076,77088) = 12
LCM(77076,77088) = ( 77076 × 77088) / 12
LCM(77076,77088) = 5941634688 / 12
LCM(77076,77088) = 495136224

Least Common Multiple (LCM) of 77076 and 77088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77076 and 77088. First we will calculate the prime factors of 77076 and 77088.

Prime Factorization of 77076

Prime Factorization of 77088

Now multiplying the highest exponent prime factors to calculate the LCM of 77076 and 77088.

LCM(77076,77088) = 2⁵ × 3² × 2141¹ × 11¹ × 73¹
LCM(77076,77088) = 495136224