What is the Least Common Multiple of 31425 and 31443?

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 31425 and 31443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31425 and 31443, than apply into the LCM equation.

GCF(31425,31443) = 3
LCM(31425,31443) = ( 31425 × 31443) / 3
LCM(31425,31443) = 988096275 / 3
LCM(31425,31443) = 329365425

Least Common Multiple (LCM) of 31425 and 31443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31425 and 31443. First we will calculate the prime factors of 31425 and 31443.

Prime Factorization of 31425

Prime Factorization of 31443

Now multiplying the highest exponent prime factors to calculate the LCM of 31425 and 31443.

LCM(31425,31443) = 3¹ × 5² × 419¹ × 47¹ × 223¹
LCM(31425,31443) = 329365425