What is the Least Common Multiple of 12264 and 12278?

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 12264 and 12278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12264 and 12278, than apply into the LCM equation.

GCF(12264,12278) = 14
LCM(12264,12278) = ( 12264 × 12278) / 14
LCM(12264,12278) = 150577392 / 14
LCM(12264,12278) = 10755528

Least Common Multiple (LCM) of 12264 and 12278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12264 and 12278. First we will calculate the prime factors of 12264 and 12278.

Prime Factorization of 12264

Prime Factorization of 12278

Now multiplying the highest exponent prime factors to calculate the LCM of 12264 and 12278.

LCM(12264,12278) = 2³ × 3¹ × 7¹ × 73¹ × 877¹
LCM(12264,12278) = 10755528