What is the Least Common Multiple of 6129 and 6140?

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 6129 and 6140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6129 and 6140, than apply into the LCM equation.

GCF(6129,6140) = 1
LCM(6129,6140) = ( 6129 × 6140) / 1
LCM(6129,6140) = 37632060 / 1
LCM(6129,6140) = 37632060

Least Common Multiple (LCM) of 6129 and 6140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6129 and 6140. First we will calculate the prime factors of 6129 and 6140.

Prime Factorization of 6129

Prime Factorization of 6140

Now multiplying the highest exponent prime factors to calculate the LCM of 6129 and 6140.

LCM(6129,6140) = 3³ × 227¹ × 2² × 5¹ × 307¹
LCM(6129,6140) = 37632060