What is the Least Common Multiple of 1940 and 1949?

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 1949 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 1949, than apply into the LCM equation.

GCF(1940,1949) = 1
LCM(1940,1949) = ( 1940 × 1949) / 1
LCM(1940,1949) = 3781060 / 1
LCM(1940,1949) = 3781060

Least Common Multiple (LCM) of 1940 and 1949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1949. First we will calculate the prime factors of 1940 and 1949.

Prime Factorization of 1940

Prime Factorization of 1949

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1949.

LCM(1940,1949) = 2² × 5¹ × 97¹ × 1949¹
LCM(1940,1949) = 3781060