What is the Least Common Multiple of 85976 and 85994?

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 85976 and 85994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85976 and 85994, than apply into the LCM equation.

GCF(85976,85994) = 2
LCM(85976,85994) = ( 85976 × 85994) / 2
LCM(85976,85994) = 7393420144 / 2
LCM(85976,85994) = 3696710072

Least Common Multiple (LCM) of 85976 and 85994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85976 and 85994. First we will calculate the prime factors of 85976 and 85994.

Prime Factorization of 85976

Prime Factorization of 85994

Now multiplying the highest exponent prime factors to calculate the LCM of 85976 and 85994.

LCM(85976,85994) = 2³ × 11¹ × 977¹ × 19¹ × 31¹ × 73¹
LCM(85976,85994) = 3696710072