What is the Least Common Multiple of 77676 and 77696?

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 77676 and 77696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77676 and 77696, than apply into the LCM equation.

GCF(77676,77696) = 4
LCM(77676,77696) = ( 77676 × 77696) / 4
LCM(77676,77696) = 6035114496 / 4
LCM(77676,77696) = 1508778624

Least Common Multiple (LCM) of 77676 and 77696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77676 and 77696. First we will calculate the prime factors of 77676 and 77696.

Prime Factorization of 77676

Prime Factorization of 77696

Now multiplying the highest exponent prime factors to calculate the LCM of 77676 and 77696.

LCM(77676,77696) = 2⁷ × 3¹ × 6473¹ × 607¹
LCM(77676,77696) = 1508778624