What is the Least Common Multiple of 41280 and 41295?

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 41280 and 41295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41280 and 41295, than apply into the LCM equation.

GCF(41280,41295) = 15
LCM(41280,41295) = ( 41280 × 41295) / 15
LCM(41280,41295) = 1704657600 / 15
LCM(41280,41295) = 113643840

Least Common Multiple (LCM) of 41280 and 41295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41280 and 41295. First we will calculate the prime factors of 41280 and 41295.

Prime Factorization of 41280

Prime Factorization of 41295

Now multiplying the highest exponent prime factors to calculate the LCM of 41280 and 41295.

LCM(41280,41295) = 2⁶ × 3¹ × 5¹ × 43¹ × 2753¹
LCM(41280,41295) = 113643840