What is the Least Common Multiple of 1940 and 1945?

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 1945 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 1945, than apply into the LCM equation.

GCF(1940,1945) = 5
LCM(1940,1945) = ( 1940 × 1945) / 5
LCM(1940,1945) = 3773300 / 5
LCM(1940,1945) = 754660

Least Common Multiple (LCM) of 1940 and 1945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1945. First we will calculate the prime factors of 1940 and 1945.

Prime Factorization of 1940

Prime Factorization of 1945

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1945.

LCM(1940,1945) = 2² × 5¹ × 97¹ × 389¹
LCM(1940,1945) = 754660