What is the Least Common Multiple of 97031 and 97045?

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 97031 and 97045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97031 and 97045, than apply into the LCM equation.

GCF(97031,97045) = 1
LCM(97031,97045) = ( 97031 × 97045) / 1
LCM(97031,97045) = 9416373395 / 1
LCM(97031,97045) = 9416373395

Least Common Multiple (LCM) of 97031 and 97045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97031 and 97045. First we will calculate the prime factors of 97031 and 97045.

Prime Factorization of 97031

Prime Factorization of 97045

Now multiplying the highest exponent prime factors to calculate the LCM of 97031 and 97045.

LCM(97031,97045) = 11¹ × 8821¹ × 5¹ × 13¹ × 1493¹
LCM(97031,97045) = 9416373395