What is the Least Common Multiple of 85925 and 85932?

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 85925 and 85932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85925 and 85932, than apply into the LCM equation.

GCF(85925,85932) = 7
LCM(85925,85932) = ( 85925 × 85932) / 7
LCM(85925,85932) = 7383707100 / 7
LCM(85925,85932) = 1054815300

Least Common Multiple (LCM) of 85925 and 85932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85925 and 85932. First we will calculate the prime factors of 85925 and 85932.

Prime Factorization of 85925

Prime Factorization of 85932

Now multiplying the highest exponent prime factors to calculate the LCM of 85925 and 85932.

LCM(85925,85932) = 5² × 7¹ × 491¹ × 2² × 3² × 11¹ × 31¹
LCM(85925,85932) = 1054815300