What is the Least Common Multiple of 14966 and 14972?

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 14966 and 14972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14966 and 14972, than apply into the LCM equation.

GCF(14966,14972) = 2
LCM(14966,14972) = ( 14966 × 14972) / 2
LCM(14966,14972) = 224070952 / 2
LCM(14966,14972) = 112035476

Least Common Multiple (LCM) of 14966 and 14972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14966 and 14972. First we will calculate the prime factors of 14966 and 14972.

Prime Factorization of 14966

Prime Factorization of 14972

Now multiplying the highest exponent prime factors to calculate the LCM of 14966 and 14972.

LCM(14966,14972) = 2² × 7¹ × 1069¹ × 19¹ × 197¹
LCM(14966,14972) = 112035476