What is the Least Common Multiple of 94704 and 94709?

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 94704 and 94709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94704 and 94709, than apply into the LCM equation.

GCF(94704,94709) = 1
LCM(94704,94709) = ( 94704 × 94709) / 1
LCM(94704,94709) = 8969321136 / 1
LCM(94704,94709) = 8969321136

Least Common Multiple (LCM) of 94704 and 94709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94704 and 94709. First we will calculate the prime factors of 94704 and 94709.

Prime Factorization of 94704

Prime Factorization of 94709

Now multiplying the highest exponent prime factors to calculate the LCM of 94704 and 94709.

LCM(94704,94709) = 2⁴ × 3¹ × 1973¹ × 94709¹
LCM(94704,94709) = 8969321136