What is the Least Common Multiple of 62583 and 62597?

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 62583 and 62597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62583 and 62597, than apply into the LCM equation.

GCF(62583,62597) = 1
LCM(62583,62597) = ( 62583 × 62597) / 1
LCM(62583,62597) = 3917508051 / 1
LCM(62583,62597) = 3917508051

Least Common Multiple (LCM) of 62583 and 62597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62583 and 62597. First we will calculate the prime factors of 62583 and 62597.

Prime Factorization of 62583

Prime Factorization of 62597

Now multiplying the highest exponent prime factors to calculate the LCM of 62583 and 62597.

LCM(62583,62597) = 3¹ × 23¹ × 907¹ × 62597¹
LCM(62583,62597) = 3917508051