What is the Least Common Multiple of 14944 and 14954?

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 14954 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 14954, than apply into the LCM equation.

GCF(14944,14954) = 2
LCM(14944,14954) = ( 14944 × 14954) / 2
LCM(14944,14954) = 223472576 / 2
LCM(14944,14954) = 111736288

Least Common Multiple (LCM) of 14944 and 14954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14944 and 14954. First we will calculate the prime factors of 14944 and 14954.

Prime Factorization of 14944

Prime Factorization of 14954

Now multiplying the highest exponent prime factors to calculate the LCM of 14944 and 14954.

LCM(14944,14954) = 2⁵ × 467¹ × 7477¹
LCM(14944,14954) = 111736288