What is the Least Common Multiple of 41380 and 41400?

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 41380 and 41400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41380 and 41400, than apply into the LCM equation.

GCF(41380,41400) = 20
LCM(41380,41400) = ( 41380 × 41400) / 20
LCM(41380,41400) = 1713132000 / 20
LCM(41380,41400) = 85656600

Least Common Multiple (LCM) of 41380 and 41400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41380 and 41400. First we will calculate the prime factors of 41380 and 41400.

Prime Factorization of 41380

Prime Factorization of 41400

Now multiplying the highest exponent prime factors to calculate the LCM of 41380 and 41400.

LCM(41380,41400) = 2³ × 5² × 2069¹ × 3² × 23¹
LCM(41380,41400) = 85656600