What is the Least Common Multiple of 41643 and 41649?

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 41643 and 41649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41643 and 41649, than apply into the LCM equation.

GCF(41643,41649) = 3
LCM(41643,41649) = ( 41643 × 41649) / 3
LCM(41643,41649) = 1734389307 / 3
LCM(41643,41649) = 578129769

Least Common Multiple (LCM) of 41643 and 41649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41643 and 41649. First we will calculate the prime factors of 41643 and 41649.

Prime Factorization of 41643

Prime Factorization of 41649

Now multiplying the highest exponent prime factors to calculate the LCM of 41643 and 41649.

LCM(41643,41649) = 3² × 7¹ × 661¹ × 13883¹
LCM(41643,41649) = 578129769