What is the Least Common Multiple of 31764 and 31783?

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 31764 and 31783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31764 and 31783, than apply into the LCM equation.

GCF(31764,31783) = 1
LCM(31764,31783) = ( 31764 × 31783) / 1
LCM(31764,31783) = 1009555212 / 1
LCM(31764,31783) = 1009555212

Least Common Multiple (LCM) of 31764 and 31783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31764 and 31783. First we will calculate the prime factors of 31764 and 31783.

Prime Factorization of 31764

Prime Factorization of 31783

Now multiplying the highest exponent prime factors to calculate the LCM of 31764 and 31783.

LCM(31764,31783) = 2² × 3¹ × 2647¹ × 37¹ × 859¹
LCM(31764,31783) = 1009555212