What is the Least Common Multiple of 31805 and 31817?

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 31805 and 31817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31805 and 31817, than apply into the LCM equation.

GCF(31805,31817) = 1
LCM(31805,31817) = ( 31805 × 31817) / 1
LCM(31805,31817) = 1011939685 / 1
LCM(31805,31817) = 1011939685

Least Common Multiple (LCM) of 31805 and 31817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31805 and 31817. First we will calculate the prime factors of 31805 and 31817.

Prime Factorization of 31805

Prime Factorization of 31817

Now multiplying the highest exponent prime factors to calculate the LCM of 31805 and 31817.

LCM(31805,31817) = 5¹ × 6361¹ × 31817¹
LCM(31805,31817) = 1011939685