What is the Least Common Multiple of 14944 and 14962?

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 14944 and 14962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14944 and 14962, than apply into the LCM equation.

GCF(14944,14962) = 2
LCM(14944,14962) = ( 14944 × 14962) / 2
LCM(14944,14962) = 223592128 / 2
LCM(14944,14962) = 111796064

Least Common Multiple (LCM) of 14944 and 14962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14944 and 14962. First we will calculate the prime factors of 14944 and 14962.

Prime Factorization of 14944

Prime Factorization of 14962

Now multiplying the highest exponent prime factors to calculate the LCM of 14944 and 14962.

LCM(14944,14962) = 2⁵ × 467¹ × 7481¹
LCM(14944,14962) = 111796064