What is the Least Common Multiple of 77696 and 77702?

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 77696 and 77702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77696 and 77702, than apply into the LCM equation.

GCF(77696,77702) = 2
LCM(77696,77702) = ( 77696 × 77702) / 2
LCM(77696,77702) = 6037134592 / 2
LCM(77696,77702) = 3018567296

Least Common Multiple (LCM) of 77696 and 77702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77696 and 77702. First we will calculate the prime factors of 77696 and 77702.

Prime Factorization of 77696

Prime Factorization of 77702

Now multiplying the highest exponent prime factors to calculate the LCM of 77696 and 77702.

LCM(77696,77702) = 2⁷ × 607¹ × 38851¹
LCM(77696,77702) = 3018567296