What is the Least Common Multiple of 58145 and 58165?

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 58145 and 58165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58145 and 58165, than apply into the LCM equation.

GCF(58145,58165) = 5
LCM(58145,58165) = ( 58145 × 58165) / 5
LCM(58145,58165) = 3382003925 / 5
LCM(58145,58165) = 676400785

Least Common Multiple (LCM) of 58145 and 58165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58145 and 58165. First we will calculate the prime factors of 58145 and 58165.

Prime Factorization of 58145

Prime Factorization of 58165

Now multiplying the highest exponent prime factors to calculate the LCM of 58145 and 58165.

LCM(58145,58165) = 5¹ × 29¹ × 401¹ × 11633¹
LCM(58145,58165) = 676400785