What is the Least Common Multiple of 41264 and 41280?

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 41264 and 41280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41264 and 41280, than apply into the LCM equation.

GCF(41264,41280) = 16
LCM(41264,41280) = ( 41264 × 41280) / 16
LCM(41264,41280) = 1703377920 / 16
LCM(41264,41280) = 106461120

Least Common Multiple (LCM) of 41264 and 41280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41264 and 41280. First we will calculate the prime factors of 41264 and 41280.

Prime Factorization of 41264

Prime Factorization of 41280

Now multiplying the highest exponent prime factors to calculate the LCM of 41264 and 41280.

LCM(41264,41280) = 2⁶ × 2579¹ × 3¹ × 5¹ × 43¹
LCM(41264,41280) = 106461120