What is the Least Common Multiple of 31563 and 31575?

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 31563 and 31575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31563 and 31575, than apply into the LCM equation.

GCF(31563,31575) = 3
LCM(31563,31575) = ( 31563 × 31575) / 3
LCM(31563,31575) = 996601725 / 3
LCM(31563,31575) = 332200575

Least Common Multiple (LCM) of 31563 and 31575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31563 and 31575. First we will calculate the prime factors of 31563 and 31575.

Prime Factorization of 31563

Prime Factorization of 31575

Now multiplying the highest exponent prime factors to calculate the LCM of 31563 and 31575.

LCM(31563,31575) = 3³ × 7¹ × 167¹ × 5² × 421¹
LCM(31563,31575) = 332200575