What is the Least Common Multiple of 31080 and 31097?

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 31080 and 31097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31080 and 31097, than apply into the LCM equation.

GCF(31080,31097) = 1
LCM(31080,31097) = ( 31080 × 31097) / 1
LCM(31080,31097) = 966494760 / 1
LCM(31080,31097) = 966494760

Least Common Multiple (LCM) of 31080 and 31097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31080 and 31097. First we will calculate the prime factors of 31080 and 31097.

Prime Factorization of 31080

Prime Factorization of 31097

Now multiplying the highest exponent prime factors to calculate the LCM of 31080 and 31097.

LCM(31080,31097) = 2³ × 3¹ × 5¹ × 7¹ × 37¹ × 11² × 257¹
LCM(31080,31097) = 966494760