What is the Least Common Multiple of 31145 and 31155?

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 31145 and 31155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31145 and 31155, than apply into the LCM equation.

GCF(31145,31155) = 5
LCM(31145,31155) = ( 31145 × 31155) / 5
LCM(31145,31155) = 970322475 / 5
LCM(31145,31155) = 194064495

Least Common Multiple (LCM) of 31145 and 31155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31145 and 31155. First we will calculate the prime factors of 31145 and 31155.

Prime Factorization of 31145

Prime Factorization of 31155

Now multiplying the highest exponent prime factors to calculate the LCM of 31145 and 31155.

LCM(31145,31155) = 5¹ × 6229¹ × 3¹ × 31¹ × 67¹
LCM(31145,31155) = 194064495