What is the Least Common Multiple of 41474 and 41491?

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 41474 and 41491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41474 and 41491, than apply into the LCM equation.

GCF(41474,41491) = 1
LCM(41474,41491) = ( 41474 × 41491) / 1
LCM(41474,41491) = 1720797734 / 1
LCM(41474,41491) = 1720797734

Least Common Multiple (LCM) of 41474 and 41491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41474 and 41491. First we will calculate the prime factors of 41474 and 41491.

Prime Factorization of 41474

Prime Factorization of 41491

Now multiplying the highest exponent prime factors to calculate the LCM of 41474 and 41491.

LCM(41474,41491) = 2¹ × 89¹ × 233¹ × 41491¹
LCM(41474,41491) = 1720797734