What is the Least Common Multiple of 41456 and 41464?

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 41456 and 41464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41456 and 41464, than apply into the LCM equation.

GCF(41456,41464) = 8
LCM(41456,41464) = ( 41456 × 41464) / 8
LCM(41456,41464) = 1718931584 / 8
LCM(41456,41464) = 214866448

Least Common Multiple (LCM) of 41456 and 41464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41456 and 41464. First we will calculate the prime factors of 41456 and 41464.

Prime Factorization of 41456

Prime Factorization of 41464

Now multiplying the highest exponent prime factors to calculate the LCM of 41456 and 41464.

LCM(41456,41464) = 2⁴ × 2591¹ × 71¹ × 73¹
LCM(41456,41464) = 214866448