What is the Least Common Multiple of 41730 and 41745?

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 41730 and 41745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41730 and 41745, than apply into the LCM equation.

GCF(41730,41745) = 15
LCM(41730,41745) = ( 41730 × 41745) / 15
LCM(41730,41745) = 1742018850 / 15
LCM(41730,41745) = 116134590

Least Common Multiple (LCM) of 41730 and 41745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41730 and 41745. First we will calculate the prime factors of 41730 and 41745.

Prime Factorization of 41730

Prime Factorization of 41745

Now multiplying the highest exponent prime factors to calculate the LCM of 41730 and 41745.

LCM(41730,41745) = 2¹ × 3¹ × 5¹ × 13¹ × 107¹ × 11² × 23¹
LCM(41730,41745) = 116134590