What is the Least Common Multiple of 77696 and 77704?

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 77704 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 77704, than apply into the LCM equation.

GCF(77696,77704) = 8
LCM(77696,77704) = ( 77696 × 77704) / 8
LCM(77696,77704) = 6037289984 / 8
LCM(77696,77704) = 754661248

Least Common Multiple (LCM) of 77696 and 77704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77696 and 77704. First we will calculate the prime factors of 77696 and 77704.

Prime Factorization of 77696

Prime Factorization of 77704

Now multiplying the highest exponent prime factors to calculate the LCM of 77696 and 77704.

LCM(77696,77704) = 2⁷ × 607¹ × 11¹ × 883¹
LCM(77696,77704) = 754661248