What is the Least Common Multiple of 97569 and 97584?

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 97569 and 97584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97569 and 97584, than apply into the LCM equation.

GCF(97569,97584) = 3
LCM(97569,97584) = ( 97569 × 97584) / 3
LCM(97569,97584) = 9521173296 / 3
LCM(97569,97584) = 3173724432

Least Common Multiple (LCM) of 97569 and 97584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97569 and 97584. First we will calculate the prime factors of 97569 and 97584.

Prime Factorization of 97569

Prime Factorization of 97584

Now multiplying the highest exponent prime factors to calculate the LCM of 97569 and 97584.

LCM(97569,97584) = 3² × 37¹ × 293¹ × 2⁴ × 19¹ × 107¹
LCM(97569,97584) = 3173724432