What is the Least Common Multiple of 14964 and 14974?

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 14964 and 14974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14964 and 14974, than apply into the LCM equation.

GCF(14964,14974) = 2
LCM(14964,14974) = ( 14964 × 14974) / 2
LCM(14964,14974) = 224070936 / 2
LCM(14964,14974) = 112035468

Least Common Multiple (LCM) of 14964 and 14974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14964 and 14974. First we will calculate the prime factors of 14964 and 14974.

Prime Factorization of 14964

Prime Factorization of 14974

Now multiplying the highest exponent prime factors to calculate the LCM of 14964 and 14974.

LCM(14964,14974) = 2² × 3¹ × 29¹ × 43¹ × 7487¹
LCM(14964,14974) = 112035468