What is the Least Common Multiple of 31512 and 31521?

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 31512 and 31521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31512 and 31521, than apply into the LCM equation.

GCF(31512,31521) = 3
LCM(31512,31521) = ( 31512 × 31521) / 3
LCM(31512,31521) = 993289752 / 3
LCM(31512,31521) = 331096584

Least Common Multiple (LCM) of 31512 and 31521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31512 and 31521. First we will calculate the prime factors of 31512 and 31521.

Prime Factorization of 31512

Prime Factorization of 31521

Now multiplying the highest exponent prime factors to calculate the LCM of 31512 and 31521.

LCM(31512,31521) = 2³ × 3¹ × 13¹ × 101¹ × 7¹ × 19¹ × 79¹
LCM(31512,31521) = 331096584