What is the Least Common Multiple of 58985 and 58999?

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 58985 and 58999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58985 and 58999, than apply into the LCM equation.

GCF(58985,58999) = 1
LCM(58985,58999) = ( 58985 × 58999) / 1
LCM(58985,58999) = 3480056015 / 1
LCM(58985,58999) = 3480056015

Least Common Multiple (LCM) of 58985 and 58999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58985 and 58999. First we will calculate the prime factors of 58985 and 58999.

Prime Factorization of 58985

Prime Factorization of 58999

Now multiplying the highest exponent prime factors to calculate the LCM of 58985 and 58999.

LCM(58985,58999) = 5¹ × 47¹ × 251¹ × 41¹ × 1439¹
LCM(58985,58999) = 3480056015