What is the Least Common Multiple of 31248 and 31252?

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 31252 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 31252, than apply into the LCM equation.

GCF(31248,31252) = 4
LCM(31248,31252) = ( 31248 × 31252) / 4
LCM(31248,31252) = 976562496 / 4
LCM(31248,31252) = 244140624

Least Common Multiple (LCM) of 31248 and 31252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31248 and 31252. First we will calculate the prime factors of 31248 and 31252.

Prime Factorization of 31248

Prime Factorization of 31252

Now multiplying the highest exponent prime factors to calculate the LCM of 31248 and 31252.

LCM(31248,31252) = 2⁴ × 3² × 7¹ × 31¹ × 13¹ × 601¹
LCM(31248,31252) = 244140624