What is the Least Common Multiple of 62583 and 62593?

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 62593 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 62593, than apply into the LCM equation.

GCF(62583,62593) = 1
LCM(62583,62593) = ( 62583 × 62593) / 1
LCM(62583,62593) = 3917257719 / 1
LCM(62583,62593) = 3917257719

Least Common Multiple (LCM) of 62583 and 62593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62583 and 62593. First we will calculate the prime factors of 62583 and 62593.

Prime Factorization of 62583

Prime Factorization of 62593

Now multiplying the highest exponent prime factors to calculate the LCM of 62583 and 62593.

LCM(62583,62593) = 3¹ × 23¹ × 907¹ × 53¹ × 1181¹
LCM(62583,62593) = 3917257719