What is the Least Common Multiple of 77688 and 77697?

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 77688 and 77697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77688 and 77697, than apply into the LCM equation.

GCF(77688,77697) = 9
LCM(77688,77697) = ( 77688 × 77697) / 9
LCM(77688,77697) = 6036124536 / 9
LCM(77688,77697) = 670680504

Least Common Multiple (LCM) of 77688 and 77697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77688 and 77697. First we will calculate the prime factors of 77688 and 77697.

Prime Factorization of 77688

Prime Factorization of 77697

Now multiplying the highest exponent prime factors to calculate the LCM of 77688 and 77697.

LCM(77688,77697) = 2³ × 3² × 13¹ × 83¹ × 89¹ × 97¹
LCM(77688,77697) = 670680504