What is the Least Common Multiple of 76456 and 76476?

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 76476 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 76476, than apply into the LCM equation.

GCF(76456,76476) = 4
LCM(76456,76476) = ( 76456 × 76476) / 4
LCM(76456,76476) = 5847049056 / 4
LCM(76456,76476) = 1461762264

Least Common Multiple (LCM) of 76456 and 76476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76456 and 76476. First we will calculate the prime factors of 76456 and 76476.

Prime Factorization of 76456

Prime Factorization of 76476

Now multiplying the highest exponent prime factors to calculate the LCM of 76456 and 76476.

LCM(76456,76476) = 2³ × 19¹ × 503¹ × 3¹ × 6373¹
LCM(76456,76476) = 1461762264