What is the Least Common Multiple of 1929 and 1940?

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 1929 and 1940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1929 and 1940, than apply into the LCM equation.

GCF(1929,1940) = 1
LCM(1929,1940) = ( 1929 × 1940) / 1
LCM(1929,1940) = 3742260 / 1
LCM(1929,1940) = 3742260

Least Common Multiple (LCM) of 1929 and 1940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1929 and 1940. First we will calculate the prime factors of 1929 and 1940.

Prime Factorization of 1929

Prime Factorization of 1940

Now multiplying the highest exponent prime factors to calculate the LCM of 1929 and 1940.

LCM(1929,1940) = 3¹ × 643¹ × 2² × 5¹ × 97¹
LCM(1929,1940) = 3742260