What is the Least Common Multiple of 6153 and 6173?

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 6153 and 6173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6153 and 6173, than apply into the LCM equation.

GCF(6153,6173) = 1
LCM(6153,6173) = ( 6153 × 6173) / 1
LCM(6153,6173) = 37982469 / 1
LCM(6153,6173) = 37982469

Least Common Multiple (LCM) of 6153 and 6173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6153 and 6173. First we will calculate the prime factors of 6153 and 6173.

Prime Factorization of 6153

Prime Factorization of 6173

Now multiplying the highest exponent prime factors to calculate the LCM of 6153 and 6173.

LCM(6153,6173) = 3¹ × 7¹ × 293¹ × 6173¹
LCM(6153,6173) = 37982469