What is the Least Common Multiple of 41643 and 41652?

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 41652 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 41652, than apply into the LCM equation.

GCF(41643,41652) = 9
LCM(41643,41652) = ( 41643 × 41652) / 9
LCM(41643,41652) = 1734514236 / 9
LCM(41643,41652) = 192723804

Least Common Multiple (LCM) of 41643 and 41652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41643 and 41652. First we will calculate the prime factors of 41643 and 41652.

Prime Factorization of 41643

Prime Factorization of 41652

Now multiplying the highest exponent prime factors to calculate the LCM of 41643 and 41652.

LCM(41643,41652) = 3² × 7¹ × 661¹ × 2² × 13¹ × 89¹
LCM(41643,41652) = 192723804