What is the Least Common Multiple of 77670 and 77688?

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 77670 and 77688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77670 and 77688, than apply into the LCM equation.

GCF(77670,77688) = 18
LCM(77670,77688) = ( 77670 × 77688) / 18
LCM(77670,77688) = 6034026960 / 18
LCM(77670,77688) = 335223720

Least Common Multiple (LCM) of 77670 and 77688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77670 and 77688. First we will calculate the prime factors of 77670 and 77688.

Prime Factorization of 77670

Prime Factorization of 77688

Now multiplying the highest exponent prime factors to calculate the LCM of 77670 and 77688.

LCM(77670,77688) = 2³ × 3² × 5¹ × 863¹ × 13¹ × 83¹
LCM(77670,77688) = 335223720