What is the Least Common Multiple of 31557 and 31569?

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 31557 and 31569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31557 and 31569, than apply into the LCM equation.

GCF(31557,31569) = 3
LCM(31557,31569) = ( 31557 × 31569) / 3
LCM(31557,31569) = 996222933 / 3
LCM(31557,31569) = 332074311

Least Common Multiple (LCM) of 31557 and 31569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31557 and 31569. First we will calculate the prime factors of 31557 and 31569.

Prime Factorization of 31557

Prime Factorization of 31569

Now multiplying the highest exponent prime factors to calculate the LCM of 31557 and 31569.

LCM(31557,31569) = 3¹ × 67¹ × 157¹ × 17¹ × 619¹
LCM(31557,31569) = 332074311