What is the Least Common Multiple of 85944 and 85950?

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 85944 and 85950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85944 and 85950, than apply into the LCM equation.

GCF(85944,85950) = 6
LCM(85944,85950) = ( 85944 × 85950) / 6
LCM(85944,85950) = 7386886800 / 6
LCM(85944,85950) = 1231147800

Least Common Multiple (LCM) of 85944 and 85950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85944 and 85950. First we will calculate the prime factors of 85944 and 85950.

Prime Factorization of 85944

Prime Factorization of 85950

Now multiplying the highest exponent prime factors to calculate the LCM of 85944 and 85950.

LCM(85944,85950) = 2³ × 3² × 3581¹ × 5² × 191¹
LCM(85944,85950) = 1231147800