What is the Least Common Multiple of 97568 and 97580?

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 97568 and 97580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97568 and 97580, than apply into the LCM equation.

GCF(97568,97580) = 4
LCM(97568,97580) = ( 97568 × 97580) / 4
LCM(97568,97580) = 9520685440 / 4
LCM(97568,97580) = 2380171360

Least Common Multiple (LCM) of 97568 and 97580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97568 and 97580. First we will calculate the prime factors of 97568 and 97580.

Prime Factorization of 97568

Prime Factorization of 97580

Now multiplying the highest exponent prime factors to calculate the LCM of 97568 and 97580.

LCM(97568,97580) = 2⁵ × 3049¹ × 5¹ × 7¹ × 17¹ × 41¹
LCM(97568,97580) = 2380171360