What is the Least Common Multiple of 41000 and 41008?

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 41000 and 41008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41000 and 41008, than apply into the LCM equation.

GCF(41000,41008) = 8
LCM(41000,41008) = ( 41000 × 41008) / 8
LCM(41000,41008) = 1681328000 / 8
LCM(41000,41008) = 210166000

Least Common Multiple (LCM) of 41000 and 41008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41000 and 41008. First we will calculate the prime factors of 41000 and 41008.

Prime Factorization of 41000

Prime Factorization of 41008

Now multiplying the highest exponent prime factors to calculate the LCM of 41000 and 41008.

LCM(41000,41008) = 2⁴ × 5³ × 41¹ × 11¹ × 233¹
LCM(41000,41008) = 210166000