What is the Least Common Multiple of 58295 and 58309?

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 58295 and 58309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58295 and 58309, than apply into the LCM equation.

GCF(58295,58309) = 1
LCM(58295,58309) = ( 58295 × 58309) / 1
LCM(58295,58309) = 3399123155 / 1
LCM(58295,58309) = 3399123155

Least Common Multiple (LCM) of 58295 and 58309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58295 and 58309. First we will calculate the prime factors of 58295 and 58309.

Prime Factorization of 58295

Prime Factorization of 58309

Now multiplying the highest exponent prime factors to calculate the LCM of 58295 and 58309.

LCM(58295,58309) = 5¹ × 89¹ × 131¹ × 58309¹
LCM(58295,58309) = 3399123155