What is the Least Common Multiple of 41904 and 41919?

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 41904 and 41919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41904 and 41919, than apply into the LCM equation.

GCF(41904,41919) = 3
LCM(41904,41919) = ( 41904 × 41919) / 3
LCM(41904,41919) = 1756573776 / 3
LCM(41904,41919) = 585524592

Least Common Multiple (LCM) of 41904 and 41919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41904 and 41919. First we will calculate the prime factors of 41904 and 41919.

Prime Factorization of 41904

Prime Factorization of 41919

Now multiplying the highest exponent prime factors to calculate the LCM of 41904 and 41919.

LCM(41904,41919) = 2⁴ × 3³ × 97¹ × 89¹ × 157¹
LCM(41904,41919) = 585524592