What is the Least Common Multiple of 31017 and 31034?

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 31017 and 31034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31017 and 31034, than apply into the LCM equation.

GCF(31017,31034) = 1
LCM(31017,31034) = ( 31017 × 31034) / 1
LCM(31017,31034) = 962581578 / 1
LCM(31017,31034) = 962581578

Least Common Multiple (LCM) of 31017 and 31034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31017 and 31034. First we will calculate the prime factors of 31017 and 31034.

Prime Factorization of 31017

Prime Factorization of 31034

Now multiplying the highest exponent prime factors to calculate the LCM of 31017 and 31034.

LCM(31017,31034) = 3¹ × 7² × 211¹ × 2¹ × 59¹ × 263¹
LCM(31017,31034) = 962581578