What is the Least Common Multiple of 41865 and 41872?

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 41865 and 41872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41865 and 41872, than apply into the LCM equation.

GCF(41865,41872) = 1
LCM(41865,41872) = ( 41865 × 41872) / 1
LCM(41865,41872) = 1752971280 / 1
LCM(41865,41872) = 1752971280

Least Common Multiple (LCM) of 41865 and 41872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41865 and 41872. First we will calculate the prime factors of 41865 and 41872.

Prime Factorization of 41865

Prime Factorization of 41872

Now multiplying the highest exponent prime factors to calculate the LCM of 41865 and 41872.

LCM(41865,41872) = 3¹ × 5¹ × 2791¹ × 2⁴ × 2617¹
LCM(41865,41872) = 1752971280