What is the Least Common Multiple of 77076 and 77091?

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 77091 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 77091, than apply into the LCM equation.

GCF(77076,77091) = 3
LCM(77076,77091) = ( 77076 × 77091) / 3
LCM(77076,77091) = 5941865916 / 3
LCM(77076,77091) = 1980621972

Least Common Multiple (LCM) of 77076 and 77091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77076 and 77091. First we will calculate the prime factors of 77076 and 77091.

Prime Factorization of 77076

Prime Factorization of 77091

Now multiplying the highest exponent prime factors to calculate the LCM of 77076 and 77091.

LCM(77076,77091) = 2² × 3² × 2141¹ × 7¹ × 3671¹
LCM(77076,77091) = 1980621972