What is the Least Common Multiple of 6102 and 6109?

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 6102 and 6109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6102 and 6109, than apply into the LCM equation.

GCF(6102,6109) = 1
LCM(6102,6109) = ( 6102 × 6109) / 1
LCM(6102,6109) = 37277118 / 1
LCM(6102,6109) = 37277118

Least Common Multiple (LCM) of 6102 and 6109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6102 and 6109. First we will calculate the prime factors of 6102 and 6109.

Prime Factorization of 6102

Prime Factorization of 6109

Now multiplying the highest exponent prime factors to calculate the LCM of 6102 and 6109.

LCM(6102,6109) = 2¹ × 3³ × 113¹ × 41¹ × 149¹
LCM(6102,6109) = 37277118