What is the Least Common Multiple of 97566 and 97578?

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 97566 and 97578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97566 and 97578, than apply into the LCM equation.

GCF(97566,97578) = 6
LCM(97566,97578) = ( 97566 × 97578) / 6
LCM(97566,97578) = 9520295148 / 6
LCM(97566,97578) = 1586715858

Least Common Multiple (LCM) of 97566 and 97578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97566 and 97578. First we will calculate the prime factors of 97566 and 97578.

Prime Factorization of 97566

Prime Factorization of 97578

Now multiplying the highest exponent prime factors to calculate the LCM of 97566 and 97578.

LCM(97566,97578) = 2¹ × 3³ × 7¹ × 23¹ × 101¹ × 13¹ × 139¹
LCM(97566,97578) = 1586715858