What is the Least Common Multiple of 1944 and 1959?

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 1944 and 1959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1944 and 1959, than apply into the LCM equation.

GCF(1944,1959) = 3
LCM(1944,1959) = ( 1944 × 1959) / 3
LCM(1944,1959) = 3808296 / 3
LCM(1944,1959) = 1269432

Least Common Multiple (LCM) of 1944 and 1959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1944 and 1959. First we will calculate the prime factors of 1944 and 1959.

Prime Factorization of 1944

Prime Factorization of 1959

Now multiplying the highest exponent prime factors to calculate the LCM of 1944 and 1959.

LCM(1944,1959) = 2³ × 3⁵ × 653¹
LCM(1944,1959) = 1269432