What is the Least Common Multiple of 4119 and 4132?

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 4119 and 4132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4119 and 4132, than apply into the LCM equation.

GCF(4119,4132) = 1
LCM(4119,4132) = ( 4119 × 4132) / 1
LCM(4119,4132) = 17019708 / 1
LCM(4119,4132) = 17019708

Least Common Multiple (LCM) of 4119 and 4132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4119 and 4132. First we will calculate the prime factors of 4119 and 4132.

Prime Factorization of 4119

Prime Factorization of 4132

Now multiplying the highest exponent prime factors to calculate the LCM of 4119 and 4132.

LCM(4119,4132) = 3¹ × 1373¹ × 2² × 1033¹
LCM(4119,4132) = 17019708