What is the Least Common Multiple of 94752 and 94758?

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 94758 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 94758, than apply into the LCM equation.

GCF(94752,94758) = 6
LCM(94752,94758) = ( 94752 × 94758) / 6
LCM(94752,94758) = 8978510016 / 6
LCM(94752,94758) = 1496418336

Least Common Multiple (LCM) of 94752 and 94758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94752 and 94758. First we will calculate the prime factors of 94752 and 94758.

Prime Factorization of 94752

Prime Factorization of 94758

Now multiplying the highest exponent prime factors to calculate the LCM of 94752 and 94758.

LCM(94752,94758) = 2⁵ × 3² × 7¹ × 47¹ × 17¹ × 929¹
LCM(94752,94758) = 1496418336