What is the Least Common Multiple of 34112 and 34125?

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 34112 and 34125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34112 and 34125, than apply into the LCM equation.

GCF(34112,34125) = 13
LCM(34112,34125) = ( 34112 × 34125) / 13
LCM(34112,34125) = 1164072000 / 13
LCM(34112,34125) = 89544000

Least Common Multiple (LCM) of 34112 and 34125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34112 and 34125. First we will calculate the prime factors of 34112 and 34125.

Prime Factorization of 34112

Prime Factorization of 34125

Now multiplying the highest exponent prime factors to calculate the LCM of 34112 and 34125.

LCM(34112,34125) = 2⁶ × 13¹ × 41¹ × 3¹ × 5³ × 7¹
LCM(34112,34125) = 89544000