What is the Least Common Multiple of 58580 and 58586?

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 58580 and 58586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58580 and 58586, than apply into the LCM equation.

GCF(58580,58586) = 2
LCM(58580,58586) = ( 58580 × 58586) / 2
LCM(58580,58586) = 3431967880 / 2
LCM(58580,58586) = 1715983940

Least Common Multiple (LCM) of 58580 and 58586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58580 and 58586. First we will calculate the prime factors of 58580 and 58586.

Prime Factorization of 58580

Prime Factorization of 58586

Now multiplying the highest exponent prime factors to calculate the LCM of 58580 and 58586.

LCM(58580,58586) = 2² × 5¹ × 29¹ × 101¹ × 11¹ × 2663¹
LCM(58580,58586) = 1715983940