What is the Least Common Multiple of 31493 and 31504?

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 31493 and 31504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31493 and 31504, than apply into the LCM equation.

GCF(31493,31504) = 11
LCM(31493,31504) = ( 31493 × 31504) / 11
LCM(31493,31504) = 992155472 / 11
LCM(31493,31504) = 90195952

Least Common Multiple (LCM) of 31493 and 31504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31493 and 31504. First we will calculate the prime factors of 31493 and 31504.

Prime Factorization of 31493

Prime Factorization of 31504

Now multiplying the highest exponent prime factors to calculate the LCM of 31493 and 31504.

LCM(31493,31504) = 7¹ × 11¹ × 409¹ × 2⁴ × 179¹
LCM(31493,31504) = 90195952