What is the Least Common Multiple of 77456 and 77460?

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 77460 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 77460, than apply into the LCM equation.

GCF(77456,77460) = 4
LCM(77456,77460) = ( 77456 × 77460) / 4
LCM(77456,77460) = 5999741760 / 4
LCM(77456,77460) = 1499935440

Least Common Multiple (LCM) of 77456 and 77460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77456 and 77460. First we will calculate the prime factors of 77456 and 77460.

Prime Factorization of 77456

Prime Factorization of 77460

Now multiplying the highest exponent prime factors to calculate the LCM of 77456 and 77460.

LCM(77456,77460) = 2⁴ × 47¹ × 103¹ × 3¹ × 5¹ × 1291¹
LCM(77456,77460) = 1499935440