What is the Least Common Multiple of 41840 and 41857?

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 41857 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 41857, than apply into the LCM equation.

GCF(41840,41857) = 1
LCM(41840,41857) = ( 41840 × 41857) / 1
LCM(41840,41857) = 1751296880 / 1
LCM(41840,41857) = 1751296880

Least Common Multiple (LCM) of 41840 and 41857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41840 and 41857. First we will calculate the prime factors of 41840 and 41857.

Prime Factorization of 41840

Prime Factorization of 41857

Now multiplying the highest exponent prime factors to calculate the LCM of 41840 and 41857.

LCM(41840,41857) = 2⁴ × 5¹ × 523¹ × 19¹ × 2203¹
LCM(41840,41857) = 1751296880