What is the Least Common Multiple of 40932 and 40940?

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 40932 and 40940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40932 and 40940, than apply into the LCM equation.

GCF(40932,40940) = 4
LCM(40932,40940) = ( 40932 × 40940) / 4
LCM(40932,40940) = 1675756080 / 4
LCM(40932,40940) = 418939020

Least Common Multiple (LCM) of 40932 and 40940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40932 and 40940. First we will calculate the prime factors of 40932 and 40940.

Prime Factorization of 40932

Prime Factorization of 40940

Now multiplying the highest exponent prime factors to calculate the LCM of 40932 and 40940.

LCM(40932,40940) = 2² × 3³ × 379¹ × 5¹ × 23¹ × 89¹
LCM(40932,40940) = 418939020