What is the Least Common Multiple of 41583 and 41601?

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 41583 and 41601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41583 and 41601, than apply into the LCM equation.

GCF(41583,41601) = 3
LCM(41583,41601) = ( 41583 × 41601) / 3
LCM(41583,41601) = 1729894383 / 3
LCM(41583,41601) = 576631461

Least Common Multiple (LCM) of 41583 and 41601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41583 and 41601. First we will calculate the prime factors of 41583 and 41601.

Prime Factorization of 41583

Prime Factorization of 41601

Now multiplying the highest exponent prime factors to calculate the LCM of 41583 and 41601.

LCM(41583,41601) = 3¹ × 83¹ × 167¹ × 7² × 283¹
LCM(41583,41601) = 576631461