What is the Least Common Multiple of 85952 and 85966?

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 85952 and 85966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85952 and 85966, than apply into the LCM equation.

GCF(85952,85966) = 2
LCM(85952,85966) = ( 85952 × 85966) / 2
LCM(85952,85966) = 7388949632 / 2
LCM(85952,85966) = 3694474816

Least Common Multiple (LCM) of 85952 and 85966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85952 and 85966. First we will calculate the prime factors of 85952 and 85966.

Prime Factorization of 85952

Prime Factorization of 85966

Now multiplying the highest exponent prime factors to calculate the LCM of 85952 and 85966.

LCM(85952,85966) = 2⁶ × 17¹ × 79¹ × 53¹ × 811¹
LCM(85952,85966) = 3694474816