What is the Least Common Multiple of 83643 and 83655?

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 83643 and 83655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83643 and 83655, than apply into the LCM equation.

GCF(83643,83655) = 3
LCM(83643,83655) = ( 83643 × 83655) / 3
LCM(83643,83655) = 6997155165 / 3
LCM(83643,83655) = 2332385055

Least Common Multiple (LCM) of 83643 and 83655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83643 and 83655. First we will calculate the prime factors of 83643 and 83655.

Prime Factorization of 83643

Prime Factorization of 83655

Now multiplying the highest exponent prime factors to calculate the LCM of 83643 and 83655.

LCM(83643,83655) = 3² × 7² × 569¹ × 5¹ × 11¹ × 13²
LCM(83643,83655) = 2332385055