What is the Least Common Multiple of 31809 and 31827?

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 31809 and 31827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31809 and 31827, than apply into the LCM equation.

GCF(31809,31827) = 3
LCM(31809,31827) = ( 31809 × 31827) / 3
LCM(31809,31827) = 1012385043 / 3
LCM(31809,31827) = 337461681

Least Common Multiple (LCM) of 31809 and 31827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31809 and 31827. First we will calculate the prime factors of 31809 and 31827.

Prime Factorization of 31809

Prime Factorization of 31827

Now multiplying the highest exponent prime factors to calculate the LCM of 31809 and 31827.

LCM(31809,31827) = 3¹ × 23¹ × 461¹ × 103²
LCM(31809,31827) = 337461681