What is the Least Common Multiple of 31174 and 31180?

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 31174 and 31180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31174 and 31180, than apply into the LCM equation.

GCF(31174,31180) = 2
LCM(31174,31180) = ( 31174 × 31180) / 2
LCM(31174,31180) = 972005320 / 2
LCM(31174,31180) = 486002660

Least Common Multiple (LCM) of 31174 and 31180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31174 and 31180. First we will calculate the prime factors of 31174 and 31180.

Prime Factorization of 31174

Prime Factorization of 31180

Now multiplying the highest exponent prime factors to calculate the LCM of 31174 and 31180.

LCM(31174,31180) = 2² × 11¹ × 13¹ × 109¹ × 5¹ × 1559¹
LCM(31174,31180) = 486002660