What is the Least Common Multiple of 31514 and 31533?

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 31514 and 31533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31514 and 31533, than apply into the LCM equation.

GCF(31514,31533) = 1
LCM(31514,31533) = ( 31514 × 31533) / 1
LCM(31514,31533) = 993730962 / 1
LCM(31514,31533) = 993730962

Least Common Multiple (LCM) of 31514 and 31533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31514 and 31533. First we will calculate the prime factors of 31514 and 31533.

Prime Factorization of 31514

Prime Factorization of 31533

Now multiplying the highest exponent prime factors to calculate the LCM of 31514 and 31533.

LCM(31514,31533) = 2¹ × 7¹ × 2251¹ × 3¹ × 23¹ × 457¹
LCM(31514,31533) = 993730962