What is the Least Common Multiple of 31533 and 31551?

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 31533 and 31551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31533 and 31551, than apply into the LCM equation.

GCF(31533,31551) = 3
LCM(31533,31551) = ( 31533 × 31551) / 3
LCM(31533,31551) = 994897683 / 3
LCM(31533,31551) = 331632561

Least Common Multiple (LCM) of 31533 and 31551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31533 and 31551. First we will calculate the prime factors of 31533 and 31551.

Prime Factorization of 31533

Prime Factorization of 31551

Now multiplying the highest exponent prime factors to calculate the LCM of 31533 and 31551.

LCM(31533,31551) = 3¹ × 23¹ × 457¹ × 13¹ × 809¹
LCM(31533,31551) = 331632561