What is the Least Common Multiple of 41658 and 41667?

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 41658 and 41667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41658 and 41667, than apply into the LCM equation.

GCF(41658,41667) = 3
LCM(41658,41667) = ( 41658 × 41667) / 3
LCM(41658,41667) = 1735763886 / 3
LCM(41658,41667) = 578587962

Least Common Multiple (LCM) of 41658 and 41667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41658 and 41667. First we will calculate the prime factors of 41658 and 41667.

Prime Factorization of 41658

Prime Factorization of 41667

Now multiplying the highest exponent prime factors to calculate the LCM of 41658 and 41667.

LCM(41658,41667) = 2¹ × 3¹ × 53¹ × 131¹ × 17¹ × 19¹ × 43¹
LCM(41658,41667) = 578587962