What is the Least Common Multiple of 97015 and 97020?

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 97015 and 97020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97015 and 97020, than apply into the LCM equation.

GCF(97015,97020) = 5
LCM(97015,97020) = ( 97015 × 97020) / 5
LCM(97015,97020) = 9412395300 / 5
LCM(97015,97020) = 1882479060

Least Common Multiple (LCM) of 97015 and 97020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97015 and 97020. First we will calculate the prime factors of 97015 and 97020.

Prime Factorization of 97015

Prime Factorization of 97020

Now multiplying the highest exponent prime factors to calculate the LCM of 97015 and 97020.

LCM(97015,97020) = 5¹ × 19403¹ × 2² × 3² × 7² × 11¹
LCM(97015,97020) = 1882479060