What is the Least Common Multiple of 75952 and 75957?

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 75952 and 75957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75952 and 75957, than apply into the LCM equation.

GCF(75952,75957) = 1
LCM(75952,75957) = ( 75952 × 75957) / 1
LCM(75952,75957) = 5769086064 / 1
LCM(75952,75957) = 5769086064

Least Common Multiple (LCM) of 75952 and 75957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75952 and 75957. First we will calculate the prime factors of 75952 and 75957.

Prime Factorization of 75952

Prime Factorization of 75957

Now multiplying the highest exponent prime factors to calculate the LCM of 75952 and 75957.

LCM(75952,75957) = 2⁴ × 47¹ × 101¹ × 3¹ × 7¹ × 3617¹
LCM(75952,75957) = 5769086064