What is the Least Common Multiple of 8112 and 8125?

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 8112 and 8125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8112 and 8125, than apply into the LCM equation.

GCF(8112,8125) = 13
LCM(8112,8125) = ( 8112 × 8125) / 13
LCM(8112,8125) = 65910000 / 13
LCM(8112,8125) = 5070000

Least Common Multiple (LCM) of 8112 and 8125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8112 and 8125. First we will calculate the prime factors of 8112 and 8125.

Prime Factorization of 8112

Prime Factorization of 8125

Now multiplying the highest exponent prime factors to calculate the LCM of 8112 and 8125.

LCM(8112,8125) = 2⁴ × 3¹ × 13² × 5⁴
LCM(8112,8125) = 5070000