What is the Least Common Multiple of 1935 and 1944?

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 1935 and 1944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1935 and 1944, than apply into the LCM equation.

GCF(1935,1944) = 9
LCM(1935,1944) = ( 1935 × 1944) / 9
LCM(1935,1944) = 3761640 / 9
LCM(1935,1944) = 417960

Least Common Multiple (LCM) of 1935 and 1944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1935 and 1944. First we will calculate the prime factors of 1935 and 1944.

Prime Factorization of 1935

Prime Factorization of 1944

Now multiplying the highest exponent prime factors to calculate the LCM of 1935 and 1944.

LCM(1935,1944) = 3⁵ × 5¹ × 43¹ × 2³
LCM(1935,1944) = 417960