What is the Least Common Multiple of 31141 and 31145?

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 31141 and 31145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31141 and 31145, than apply into the LCM equation.

GCF(31141,31145) = 1
LCM(31141,31145) = ( 31141 × 31145) / 1
LCM(31141,31145) = 969886445 / 1
LCM(31141,31145) = 969886445

Least Common Multiple (LCM) of 31141 and 31145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31141 and 31145. First we will calculate the prime factors of 31141 and 31145.

Prime Factorization of 31141

Prime Factorization of 31145

Now multiplying the highest exponent prime factors to calculate the LCM of 31141 and 31145.

LCM(31141,31145) = 11¹ × 19¹ × 149¹ × 5¹ × 6229¹
LCM(31141,31145) = 969886445