What is the Least Common Multiple of 58513 and 58533?

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 58513 and 58533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58513 and 58533, than apply into the LCM equation.

GCF(58513,58533) = 1
LCM(58513,58533) = ( 58513 × 58533) / 1
LCM(58513,58533) = 3424941429 / 1
LCM(58513,58533) = 3424941429

Least Common Multiple (LCM) of 58513 and 58533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58513 and 58533. First we will calculate the prime factors of 58513 and 58533.

Prime Factorization of 58513

Prime Factorization of 58533

Now multiplying the highest exponent prime factors to calculate the LCM of 58513 and 58533.

LCM(58513,58533) = 7¹ × 13¹ × 643¹ × 3¹ × 109¹ × 179¹
LCM(58513,58533) = 3424941429