What is the Least Common Multiple of 90586 and 90593?

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 90586 and 90593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90586 and 90593, than apply into the LCM equation.

GCF(90586,90593) = 1
LCM(90586,90593) = ( 90586 × 90593) / 1
LCM(90586,90593) = 8206457498 / 1
LCM(90586,90593) = 8206457498

Least Common Multiple (LCM) of 90586 and 90593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90586 and 90593. First we will calculate the prime factors of 90586 and 90593.

Prime Factorization of 90586

Prime Factorization of 90593

Now multiplying the highest exponent prime factors to calculate the LCM of 90586 and 90593.

LCM(90586,90593) = 2¹ × 45293¹ × 17¹ × 73²
LCM(90586,90593) = 8206457498