What is the Least Common Multiple of 76478 and 76484?

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 76478 and 76484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76478 and 76484, than apply into the LCM equation.

GCF(76478,76484) = 2
LCM(76478,76484) = ( 76478 × 76484) / 2
LCM(76478,76484) = 5849343352 / 2
LCM(76478,76484) = 2924671676

Least Common Multiple (LCM) of 76478 and 76484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76478 and 76484. First we will calculate the prime factors of 76478 and 76484.

Prime Factorization of 76478

Prime Factorization of 76484

Now multiplying the highest exponent prime factors to calculate the LCM of 76478 and 76484.

LCM(76478,76484) = 2² × 38239¹ × 19121¹
LCM(76478,76484) = 2924671676