What is the Least Common Multiple of 31717 and 31729?

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 31717 and 31729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31717 and 31729, than apply into the LCM equation.

GCF(31717,31729) = 1
LCM(31717,31729) = ( 31717 × 31729) / 1
LCM(31717,31729) = 1006348693 / 1
LCM(31717,31729) = 1006348693

Least Common Multiple (LCM) of 31717 and 31729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31717 and 31729. First we will calculate the prime factors of 31717 and 31729.

Prime Factorization of 31717

Prime Factorization of 31729

Now multiplying the highest exponent prime factors to calculate the LCM of 31717 and 31729.

LCM(31717,31729) = 7¹ × 23¹ × 197¹ × 31729¹
LCM(31717,31729) = 1006348693