What is the Least Common Multiple of 41454 and 41474?

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 41454 and 41474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41454 and 41474, than apply into the LCM equation.

GCF(41454,41474) = 2
LCM(41454,41474) = ( 41454 × 41474) / 2
LCM(41454,41474) = 1719263196 / 2
LCM(41454,41474) = 859631598

Least Common Multiple (LCM) of 41454 and 41474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41454 and 41474. First we will calculate the prime factors of 41454 and 41474.

Prime Factorization of 41454

Prime Factorization of 41474

Now multiplying the highest exponent prime factors to calculate the LCM of 41454 and 41474.

LCM(41454,41474) = 2¹ × 3² × 7² × 47¹ × 89¹ × 233¹
LCM(41454,41474) = 859631598