What is the Least Common Multiple of 31248 and 31257?

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 31248 and 31257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31248 and 31257, than apply into the LCM equation.

GCF(31248,31257) = 9
LCM(31248,31257) = ( 31248 × 31257) / 9
LCM(31248,31257) = 976718736 / 9
LCM(31248,31257) = 108524304

Least Common Multiple (LCM) of 31248 and 31257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31248 and 31257. First we will calculate the prime factors of 31248 and 31257.

Prime Factorization of 31248

Prime Factorization of 31257

Now multiplying the highest exponent prime factors to calculate the LCM of 31248 and 31257.

LCM(31248,31257) = 2⁴ × 3² × 7¹ × 31¹ × 23¹ × 151¹
LCM(31248,31257) = 108524304