What is the Least Common Multiple of 83583 and 83597?

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 83583 and 83597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83583 and 83597, than apply into the LCM equation.

GCF(83583,83597) = 1
LCM(83583,83597) = ( 83583 × 83597) / 1
LCM(83583,83597) = 6987288051 / 1
LCM(83583,83597) = 6987288051

Least Common Multiple (LCM) of 83583 and 83597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83583 and 83597. First we will calculate the prime factors of 83583 and 83597.

Prime Factorization of 83583

Prime Factorization of 83597

Now multiplying the highest exponent prime factors to calculate the LCM of 83583 and 83597.

LCM(83583,83597) = 3² × 37¹ × 251¹ × 83597¹
LCM(83583,83597) = 6987288051