What is the Least Common Multiple of 1920 and 1938?

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 1920 and 1938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1920 and 1938, than apply into the LCM equation.

GCF(1920,1938) = 6
LCM(1920,1938) = ( 1920 × 1938) / 6
LCM(1920,1938) = 3720960 / 6
LCM(1920,1938) = 620160

Least Common Multiple (LCM) of 1920 and 1938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1938. First we will calculate the prime factors of 1920 and 1938.

Prime Factorization of 1920

Prime Factorization of 1938

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1938.

LCM(1920,1938) = 2⁷ × 3¹ × 5¹ × 17¹ × 19¹
LCM(1920,1938) = 620160