What is the Least Common Multiple of 14969 and 14976?

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 14969 and 14976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14969 and 14976, than apply into the LCM equation.

GCF(14969,14976) = 1
LCM(14969,14976) = ( 14969 × 14976) / 1
LCM(14969,14976) = 224175744 / 1
LCM(14969,14976) = 224175744

Least Common Multiple (LCM) of 14969 and 14976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14969 and 14976. First we will calculate the prime factors of 14969 and 14976.

Prime Factorization of 14969

Prime Factorization of 14976

Now multiplying the highest exponent prime factors to calculate the LCM of 14969 and 14976.

LCM(14969,14976) = 14969¹ × 2⁷ × 3² × 13¹
LCM(14969,14976) = 224175744