What is the Least Common Multiple of 58576 and 58593?

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 58576 and 58593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58576 and 58593, than apply into the LCM equation.

GCF(58576,58593) = 1
LCM(58576,58593) = ( 58576 × 58593) / 1
LCM(58576,58593) = 3432143568 / 1
LCM(58576,58593) = 3432143568

Least Common Multiple (LCM) of 58576 and 58593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58576 and 58593. First we will calculate the prime factors of 58576 and 58593.

Prime Factorization of 58576

Prime Factorization of 58593

Now multiplying the highest exponent prime factors to calculate the LCM of 58576 and 58593.

LCM(58576,58593) = 2⁴ × 7¹ × 523¹ × 3¹ × 19531¹
LCM(58576,58593) = 3432143568