What is the Least Common Multiple of 41330 and 41350?

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 41330 and 41350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41330 and 41350, than apply into the LCM equation.

GCF(41330,41350) = 10
LCM(41330,41350) = ( 41330 × 41350) / 10
LCM(41330,41350) = 1708995500 / 10
LCM(41330,41350) = 170899550

Least Common Multiple (LCM) of 41330 and 41350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41330 and 41350. First we will calculate the prime factors of 41330 and 41350.

Prime Factorization of 41330

Prime Factorization of 41350

Now multiplying the highest exponent prime factors to calculate the LCM of 41330 and 41350.

LCM(41330,41350) = 2¹ × 5² × 4133¹ × 827¹
LCM(41330,41350) = 170899550