What is the Least Common Multiple of 83568 and 83583?

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 83568 and 83583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83568 and 83583, than apply into the LCM equation.

GCF(83568,83583) = 3
LCM(83568,83583) = ( 83568 × 83583) / 3
LCM(83568,83583) = 6984864144 / 3
LCM(83568,83583) = 2328288048

Least Common Multiple (LCM) of 83568 and 83583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83568 and 83583. First we will calculate the prime factors of 83568 and 83583.

Prime Factorization of 83568

Prime Factorization of 83583

Now multiplying the highest exponent prime factors to calculate the LCM of 83568 and 83583.

LCM(83568,83583) = 2⁴ × 3² × 1741¹ × 37¹ × 251¹
LCM(83568,83583) = 2328288048