What is the Least Common Multiple of 6249 and 6264?

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 6249 and 6264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6249 and 6264, than apply into the LCM equation.

GCF(6249,6264) = 3
LCM(6249,6264) = ( 6249 × 6264) / 3
LCM(6249,6264) = 39143736 / 3
LCM(6249,6264) = 13047912

Least Common Multiple (LCM) of 6249 and 6264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6249 and 6264. First we will calculate the prime factors of 6249 and 6264.

Prime Factorization of 6249

Prime Factorization of 6264

Now multiplying the highest exponent prime factors to calculate the LCM of 6249 and 6264.

LCM(6249,6264) = 3³ × 2083¹ × 2³ × 29¹
LCM(6249,6264) = 13047912