What is the Least Common Multiple of 31698 and 31711?

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 31698 and 31711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31698 and 31711, than apply into the LCM equation.

GCF(31698,31711) = 1
LCM(31698,31711) = ( 31698 × 31711) / 1
LCM(31698,31711) = 1005175278 / 1
LCM(31698,31711) = 1005175278

Least Common Multiple (LCM) of 31698 and 31711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31698 and 31711. First we will calculate the prime factors of 31698 and 31711.

Prime Factorization of 31698

Prime Factorization of 31711

Now multiplying the highest exponent prime factors to calculate the LCM of 31698 and 31711.

LCM(31698,31711) = 2¹ × 3³ × 587¹ × 19¹ × 1669¹
LCM(31698,31711) = 1005175278