What is the Least Common Multiple of 1944 and 1953?

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 1953 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 1953, than apply into the LCM equation.

GCF(1944,1953) = 9
LCM(1944,1953) = ( 1944 × 1953) / 9
LCM(1944,1953) = 3796632 / 9
LCM(1944,1953) = 421848

Least Common Multiple (LCM) of 1944 and 1953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1944 and 1953. First we will calculate the prime factors of 1944 and 1953.

Prime Factorization of 1944

Prime Factorization of 1953

Now multiplying the highest exponent prime factors to calculate the LCM of 1944 and 1953.

LCM(1944,1953) = 2³ × 3⁵ × 7¹ × 31¹
LCM(1944,1953) = 421848