What is the Least Common Multiple of 76456 and 76464?

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 76456 and 76464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76456 and 76464, than apply into the LCM equation.

GCF(76456,76464) = 8
LCM(76456,76464) = ( 76456 × 76464) / 8
LCM(76456,76464) = 5846131584 / 8
LCM(76456,76464) = 730766448

Least Common Multiple (LCM) of 76456 and 76464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76456 and 76464. First we will calculate the prime factors of 76456 and 76464.

Prime Factorization of 76456

Prime Factorization of 76464

Now multiplying the highest exponent prime factors to calculate the LCM of 76456 and 76464.

LCM(76456,76464) = 2⁴ × 19¹ × 503¹ × 3⁴ × 59¹
LCM(76456,76464) = 730766448