What is the Least Common Multiple of 94946 and 94952?

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 94946 and 94952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94946 and 94952, than apply into the LCM equation.

GCF(94946,94952) = 2
LCM(94946,94952) = ( 94946 × 94952) / 2
LCM(94946,94952) = 9015312592 / 2
LCM(94946,94952) = 4507656296

Least Common Multiple (LCM) of 94946 and 94952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94946 and 94952. First we will calculate the prime factors of 94946 and 94952.

Prime Factorization of 94946

Prime Factorization of 94952

Now multiplying the highest exponent prime factors to calculate the LCM of 94946 and 94952.

LCM(94946,94952) = 2³ × 29¹ × 1637¹ × 11¹ × 13¹ × 83¹
LCM(94946,94952) = 4507656296