What is the Least Common Multiple of 6279 and 6285?

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 6279 and 6285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6279 and 6285, than apply into the LCM equation.

GCF(6279,6285) = 3
LCM(6279,6285) = ( 6279 × 6285) / 3
LCM(6279,6285) = 39463515 / 3
LCM(6279,6285) = 13154505

Least Common Multiple (LCM) of 6279 and 6285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6279 and 6285. First we will calculate the prime factors of 6279 and 6285.

Prime Factorization of 6279

Prime Factorization of 6285

Now multiplying the highest exponent prime factors to calculate the LCM of 6279 and 6285.

LCM(6279,6285) = 3¹ × 7¹ × 13¹ × 23¹ × 5¹ × 419¹
LCM(6279,6285) = 13154505