What is the Least Common Multiple of 31694 and 31709?

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 31694 and 31709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31694 and 31709, than apply into the LCM equation.

GCF(31694,31709) = 1
LCM(31694,31709) = ( 31694 × 31709) / 1
LCM(31694,31709) = 1004985046 / 1
LCM(31694,31709) = 1004985046

Least Common Multiple (LCM) of 31694 and 31709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31694 and 31709. First we will calculate the prime factors of 31694 and 31709.

Prime Factorization of 31694

Prime Factorization of 31709

Now multiplying the highest exponent prime factors to calculate the LCM of 31694 and 31709.

LCM(31694,31709) = 2¹ × 13¹ × 23¹ × 53¹ × 37¹ × 857¹
LCM(31694,31709) = 1004985046