What is the Least Common Multiple of 89586 and 89593?

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 89586 and 89593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89586 and 89593, than apply into the LCM equation.

GCF(89586,89593) = 7
LCM(89586,89593) = ( 89586 × 89593) / 7
LCM(89586,89593) = 8026278498 / 7
LCM(89586,89593) = 1146611214

Least Common Multiple (LCM) of 89586 and 89593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89586 and 89593. First we will calculate the prime factors of 89586 and 89593.

Prime Factorization of 89586

Prime Factorization of 89593

Now multiplying the highest exponent prime factors to calculate the LCM of 89586 and 89593.

LCM(89586,89593) = 2¹ × 3⁴ × 7¹ × 79¹ × 12799¹
LCM(89586,89593) = 1146611214