What is the Least Common Multiple of 6240 and 6249?

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 6240 and 6249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6240 and 6249, than apply into the LCM equation.

GCF(6240,6249) = 3
LCM(6240,6249) = ( 6240 × 6249) / 3
LCM(6240,6249) = 38993760 / 3
LCM(6240,6249) = 12997920

Least Common Multiple (LCM) of 6240 and 6249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6240 and 6249. First we will calculate the prime factors of 6240 and 6249.

Prime Factorization of 6240

Prime Factorization of 6249

Now multiplying the highest exponent prime factors to calculate the LCM of 6240 and 6249.

LCM(6240,6249) = 2⁵ × 3¹ × 5¹ × 13¹ × 2083¹
LCM(6240,6249) = 12997920