What is the Least Common Multiple of 31170 and 31174?

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 31170 and 31174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31170 and 31174, than apply into the LCM equation.

GCF(31170,31174) = 2
LCM(31170,31174) = ( 31170 × 31174) / 2
LCM(31170,31174) = 971693580 / 2
LCM(31170,31174) = 485846790

Least Common Multiple (LCM) of 31170 and 31174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31170 and 31174. First we will calculate the prime factors of 31170 and 31174.

Prime Factorization of 31170

Prime Factorization of 31174

Now multiplying the highest exponent prime factors to calculate the LCM of 31170 and 31174.

LCM(31170,31174) = 2¹ × 3¹ × 5¹ × 1039¹ × 11¹ × 13¹ × 109¹
LCM(31170,31174) = 485846790