What is the Least Common Multiple of 94616 and 94636?

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 94616 and 94636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94616 and 94636, than apply into the LCM equation.

GCF(94616,94636) = 4
LCM(94616,94636) = ( 94616 × 94636) / 4
LCM(94616,94636) = 8954079776 / 4
LCM(94616,94636) = 2238519944

Least Common Multiple (LCM) of 94616 and 94636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94616 and 94636. First we will calculate the prime factors of 94616 and 94636.

Prime Factorization of 94616

Prime Factorization of 94636

Now multiplying the highest exponent prime factors to calculate the LCM of 94616 and 94636.

LCM(94616,94636) = 2³ × 11827¹ × 59¹ × 401¹
LCM(94616,94636) = 2238519944