What is the Least Common Multiple of 41840 and 41859?

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 41840 and 41859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41840 and 41859, than apply into the LCM equation.

GCF(41840,41859) = 1
LCM(41840,41859) = ( 41840 × 41859) / 1
LCM(41840,41859) = 1751380560 / 1
LCM(41840,41859) = 1751380560

Least Common Multiple (LCM) of 41840 and 41859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41840 and 41859. First we will calculate the prime factors of 41840 and 41859.

Prime Factorization of 41840

Prime Factorization of 41859

Now multiplying the highest exponent prime factors to calculate the LCM of 41840 and 41859.

LCM(41840,41859) = 2⁴ × 5¹ × 523¹ × 3² × 4651¹
LCM(41840,41859) = 1751380560