What is the Least Common Multiple of 6135 and 6139?

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 6135 and 6139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6135 and 6139, than apply into the LCM equation.

GCF(6135,6139) = 1
LCM(6135,6139) = ( 6135 × 6139) / 1
LCM(6135,6139) = 37662765 / 1
LCM(6135,6139) = 37662765

Least Common Multiple (LCM) of 6135 and 6139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6135 and 6139. First we will calculate the prime factors of 6135 and 6139.

Prime Factorization of 6135

Prime Factorization of 6139

Now multiplying the highest exponent prime factors to calculate the LCM of 6135 and 6139.

LCM(6135,6139) = 3¹ × 5¹ × 409¹ × 7¹ × 877¹
LCM(6135,6139) = 37662765