What is the Least Common Multiple of 1920 and 1939?

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 1939 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 1939, than apply into the LCM equation.

GCF(1920,1939) = 1
LCM(1920,1939) = ( 1920 × 1939) / 1
LCM(1920,1939) = 3722880 / 1
LCM(1920,1939) = 3722880

Least Common Multiple (LCM) of 1920 and 1939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1920 and 1939. First we will calculate the prime factors of 1920 and 1939.

Prime Factorization of 1920

Prime Factorization of 1939

Now multiplying the highest exponent prime factors to calculate the LCM of 1920 and 1939.

LCM(1920,1939) = 2⁷ × 3¹ × 5¹ × 7¹ × 277¹
LCM(1920,1939) = 3722880