What is the Least Common Multiple of 41475 and 41490?

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 41475 and 41490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41475 and 41490, than apply into the LCM equation.

GCF(41475,41490) = 15
LCM(41475,41490) = ( 41475 × 41490) / 15
LCM(41475,41490) = 1720797750 / 15
LCM(41475,41490) = 114719850

Least Common Multiple (LCM) of 41475 and 41490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41475 and 41490. First we will calculate the prime factors of 41475 and 41490.

Prime Factorization of 41475

Prime Factorization of 41490

Now multiplying the highest exponent prime factors to calculate the LCM of 41475 and 41490.

LCM(41475,41490) = 3² × 5² × 7¹ × 79¹ × 2¹ × 461¹
LCM(41475,41490) = 114719850