What is the Least Common Multiple of 14868 and 14874?

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 14868 and 14874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14868 and 14874, than apply into the LCM equation.

GCF(14868,14874) = 6
LCM(14868,14874) = ( 14868 × 14874) / 6
LCM(14868,14874) = 221146632 / 6
LCM(14868,14874) = 36857772

Least Common Multiple (LCM) of 14868 and 14874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14868 and 14874. First we will calculate the prime factors of 14868 and 14874.

Prime Factorization of 14868

Prime Factorization of 14874

Now multiplying the highest exponent prime factors to calculate the LCM of 14868 and 14874.

LCM(14868,14874) = 2² × 3² × 7¹ × 59¹ × 37¹ × 67¹
LCM(14868,14874) = 36857772