What is the Least Common Multiple of 93952 and 93956?

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 93952 and 93956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93952 and 93956, than apply into the LCM equation.

GCF(93952,93956) = 4
LCM(93952,93956) = ( 93952 × 93956) / 4
LCM(93952,93956) = 8827354112 / 4
LCM(93952,93956) = 2206838528

Least Common Multiple (LCM) of 93952 and 93956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93952 and 93956. First we will calculate the prime factors of 93952 and 93956.

Prime Factorization of 93952

Prime Factorization of 93956

Now multiplying the highest exponent prime factors to calculate the LCM of 93952 and 93956.

LCM(93952,93956) = 2⁸ × 367¹ × 83¹ × 283¹
LCM(93952,93956) = 2206838528