What is the Least Common Multiple of 58847 and 58860?

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 58847 and 58860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58847 and 58860, than apply into the LCM equation.

GCF(58847,58860) = 1
LCM(58847,58860) = ( 58847 × 58860) / 1
LCM(58847,58860) = 3463734420 / 1
LCM(58847,58860) = 3463734420

Least Common Multiple (LCM) of 58847 and 58860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58847 and 58860. First we will calculate the prime factors of 58847 and 58860.

Prime Factorization of 58847

Prime Factorization of 58860

Now multiplying the highest exponent prime factors to calculate the LCM of 58847 and 58860.

LCM(58847,58860) = 83¹ × 709¹ × 2² × 3³ × 5¹ × 109¹
LCM(58847,58860) = 3463734420