What is the Least Common Multiple of 4116 and 4125?

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 4116 and 4125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4116 and 4125, than apply into the LCM equation.

GCF(4116,4125) = 3
LCM(4116,4125) = ( 4116 × 4125) / 3
LCM(4116,4125) = 16978500 / 3
LCM(4116,4125) = 5659500

Least Common Multiple (LCM) of 4116 and 4125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4116 and 4125. First we will calculate the prime factors of 4116 and 4125.

Prime Factorization of 4116

Prime Factorization of 4125

Now multiplying the highest exponent prime factors to calculate the LCM of 4116 and 4125.

LCM(4116,4125) = 2² × 3¹ × 7³ × 5³ × 11¹
LCM(4116,4125) = 5659500