What is the Least Common Multiple of 97584 and 97593?

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 97584 and 97593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97584 and 97593, than apply into the LCM equation.

GCF(97584,97593) = 3
LCM(97584,97593) = ( 97584 × 97593) / 3
LCM(97584,97593) = 9523515312 / 3
LCM(97584,97593) = 3174505104

Least Common Multiple (LCM) of 97584 and 97593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97584 and 97593. First we will calculate the prime factors of 97584 and 97593.

Prime Factorization of 97584

Prime Factorization of 97593

Now multiplying the highest exponent prime factors to calculate the LCM of 97584 and 97593.

LCM(97584,97593) = 2⁴ × 3¹ × 19¹ × 107¹ × 32531¹
LCM(97584,97593) = 3174505104