What is the Least Common Multiple of 41742 and 41750?

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 41742 and 41750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41742 and 41750, than apply into the LCM equation.

GCF(41742,41750) = 2
LCM(41742,41750) = ( 41742 × 41750) / 2
LCM(41742,41750) = 1742728500 / 2
LCM(41742,41750) = 871364250

Least Common Multiple (LCM) of 41742 and 41750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41742 and 41750. First we will calculate the prime factors of 41742 and 41750.

Prime Factorization of 41742

Prime Factorization of 41750

Now multiplying the highest exponent prime factors to calculate the LCM of 41742 and 41750.

LCM(41742,41750) = 2¹ × 3³ × 773¹ × 5³ × 167¹
LCM(41742,41750) = 871364250