What is the Least Common Multiple of 31755 and 31774?

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 31755 and 31774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31755 and 31774, than apply into the LCM equation.

GCF(31755,31774) = 1
LCM(31755,31774) = ( 31755 × 31774) / 1
LCM(31755,31774) = 1008983370 / 1
LCM(31755,31774) = 1008983370

Least Common Multiple (LCM) of 31755 and 31774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31755 and 31774. First we will calculate the prime factors of 31755 and 31774.

Prime Factorization of 31755

Prime Factorization of 31774

Now multiplying the highest exponent prime factors to calculate the LCM of 31755 and 31774.

LCM(31755,31774) = 3¹ × 5¹ × 29¹ × 73¹ × 2¹ × 15887¹
LCM(31755,31774) = 1008983370