What is the Least Common Multiple of 94752 and 94759?

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 94752 and 94759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94752 and 94759, than apply into the LCM equation.

GCF(94752,94759) = 7
LCM(94752,94759) = ( 94752 × 94759) / 7
LCM(94752,94759) = 8978604768 / 7
LCM(94752,94759) = 1282657824

Least Common Multiple (LCM) of 94752 and 94759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94752 and 94759. First we will calculate the prime factors of 94752 and 94759.

Prime Factorization of 94752

Prime Factorization of 94759

Now multiplying the highest exponent prime factors to calculate the LCM of 94752 and 94759.

LCM(94752,94759) = 2⁵ × 3² × 7¹ × 47¹ × 13537¹
LCM(94752,94759) = 1282657824