What is the Least Common Multiple of 94704 and 94716?

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 94716 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 94716, than apply into the LCM equation.

GCF(94704,94716) = 12
LCM(94704,94716) = ( 94704 × 94716) / 12
LCM(94704,94716) = 8969984064 / 12
LCM(94704,94716) = 747498672

Least Common Multiple (LCM) of 94704 and 94716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94704 and 94716. First we will calculate the prime factors of 94704 and 94716.

Prime Factorization of 94704

Prime Factorization of 94716

Now multiplying the highest exponent prime factors to calculate the LCM of 94704 and 94716.

LCM(94704,94716) = 2⁴ × 3³ × 1973¹ × 877¹
LCM(94704,94716) = 747498672