What is the Least Common Multiple of 77456 and 77474?

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 77456 and 77474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77456 and 77474, than apply into the LCM equation.

GCF(77456,77474) = 2
LCM(77456,77474) = ( 77456 × 77474) / 2
LCM(77456,77474) = 6000826144 / 2
LCM(77456,77474) = 3000413072

Least Common Multiple (LCM) of 77456 and 77474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77456 and 77474. First we will calculate the prime factors of 77456 and 77474.

Prime Factorization of 77456

Prime Factorization of 77474

Now multiplying the highest exponent prime factors to calculate the LCM of 77456 and 77474.

LCM(77456,77474) = 2⁴ × 47¹ × 103¹ × 38737¹
LCM(77456,77474) = 3000413072