What is the Least Common Multiple of 25944 and 25964?

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 25944 and 25964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25944 and 25964, than apply into the LCM equation.

GCF(25944,25964) = 4
LCM(25944,25964) = ( 25944 × 25964) / 4
LCM(25944,25964) = 673610016 / 4
LCM(25944,25964) = 168402504

Least Common Multiple (LCM) of 25944 and 25964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25944 and 25964. First we will calculate the prime factors of 25944 and 25964.

Prime Factorization of 25944

Prime Factorization of 25964

Now multiplying the highest exponent prime factors to calculate the LCM of 25944 and 25964.

LCM(25944,25964) = 2³ × 3¹ × 23¹ × 47¹ × 6491¹
LCM(25944,25964) = 168402504