What is the Least Common Multiple of 1940 and 1955?

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 1940 and 1955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1940 and 1955, than apply into the LCM equation.

GCF(1940,1955) = 5
LCM(1940,1955) = ( 1940 × 1955) / 5
LCM(1940,1955) = 3792700 / 5
LCM(1940,1955) = 758540

Least Common Multiple (LCM) of 1940 and 1955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1955. First we will calculate the prime factors of 1940 and 1955.

Prime Factorization of 1940

Prime Factorization of 1955

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1955.

LCM(1940,1955) = 2² × 5¹ × 97¹ × 17¹ × 23¹
LCM(1940,1955) = 758540