What is the Least Common Multiple of 41920 and 41940?

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 41920 and 41940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41920 and 41940, than apply into the LCM equation.

GCF(41920,41940) = 20
LCM(41920,41940) = ( 41920 × 41940) / 20
LCM(41920,41940) = 1758124800 / 20
LCM(41920,41940) = 87906240

Least Common Multiple (LCM) of 41920 and 41940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41920 and 41940. First we will calculate the prime factors of 41920 and 41940.

Prime Factorization of 41920

Prime Factorization of 41940

Now multiplying the highest exponent prime factors to calculate the LCM of 41920 and 41940.

LCM(41920,41940) = 2⁶ × 5¹ × 131¹ × 3² × 233¹
LCM(41920,41940) = 87906240