What is the Least Common Multiple of 31724 and 31733?

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 31724 and 31733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31724 and 31733, than apply into the LCM equation.

GCF(31724,31733) = 1
LCM(31724,31733) = ( 31724 × 31733) / 1
LCM(31724,31733) = 1006697692 / 1
LCM(31724,31733) = 1006697692

Least Common Multiple (LCM) of 31724 and 31733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31724 and 31733. First we will calculate the prime factors of 31724 and 31733.

Prime Factorization of 31724

Prime Factorization of 31733

Now multiplying the highest exponent prime factors to calculate the LCM of 31724 and 31733.

LCM(31724,31733) = 2² × 7¹ × 11¹ × 103¹ × 13¹ × 2441¹
LCM(31724,31733) = 1006697692