What is the Least Common Multiple of 97019 and 97031?

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 97019 and 97031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97019 and 97031, than apply into the LCM equation.

GCF(97019,97031) = 1
LCM(97019,97031) = ( 97019 × 97031) / 1
LCM(97019,97031) = 9413850589 / 1
LCM(97019,97031) = 9413850589

Least Common Multiple (LCM) of 97019 and 97031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97019 and 97031. First we will calculate the prime factors of 97019 and 97031.

Prime Factorization of 97019

Prime Factorization of 97031

Now multiplying the highest exponent prime factors to calculate the LCM of 97019 and 97031.

LCM(97019,97031) = 13¹ × 17¹ × 439¹ × 11¹ × 8821¹
LCM(97019,97031) = 9413850589