What is the Least Common Multiple of 85946 and 85952?

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 85946 and 85952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85946 and 85952, than apply into the LCM equation.

GCF(85946,85952) = 2
LCM(85946,85952) = ( 85946 × 85952) / 2
LCM(85946,85952) = 7387230592 / 2
LCM(85946,85952) = 3693615296

Least Common Multiple (LCM) of 85946 and 85952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85946 and 85952. First we will calculate the prime factors of 85946 and 85952.

Prime Factorization of 85946

Prime Factorization of 85952

Now multiplying the highest exponent prime factors to calculate the LCM of 85946 and 85952.

LCM(85946,85952) = 2⁶ × 7² × 877¹ × 17¹ × 79¹
LCM(85946,85952) = 3693615296