What is the Least Common Multiple of 4125 and 4144?

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 4125 and 4144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4125 and 4144, than apply into the LCM equation.

GCF(4125,4144) = 1
LCM(4125,4144) = ( 4125 × 4144) / 1
LCM(4125,4144) = 17094000 / 1
LCM(4125,4144) = 17094000

Least Common Multiple (LCM) of 4125 and 4144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4125 and 4144. First we will calculate the prime factors of 4125 and 4144.

Prime Factorization of 4125

Prime Factorization of 4144

Now multiplying the highest exponent prime factors to calculate the LCM of 4125 and 4144.

LCM(4125,4144) = 3¹ × 5³ × 11¹ × 2⁴ × 7¹ × 37¹
LCM(4125,4144) = 17094000