What is the Least Common Multiple of 77704 and 77724?

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 77704 and 77724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77704 and 77724, than apply into the LCM equation.

GCF(77704,77724) = 4
LCM(77704,77724) = ( 77704 × 77724) / 4
LCM(77704,77724) = 6039465696 / 4
LCM(77704,77724) = 1509866424

Least Common Multiple (LCM) of 77704 and 77724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77704 and 77724. First we will calculate the prime factors of 77704 and 77724.

Prime Factorization of 77704

Prime Factorization of 77724

Now multiplying the highest exponent prime factors to calculate the LCM of 77704 and 77724.

LCM(77704,77724) = 2³ × 11¹ × 883¹ × 3² × 17¹ × 127¹
LCM(77704,77724) = 1509866424