What is the Least Common Multiple of 58190 and 58195?

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 58190 and 58195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58190 and 58195, than apply into the LCM equation.

GCF(58190,58195) = 5
LCM(58190,58195) = ( 58190 × 58195) / 5
LCM(58190,58195) = 3386367050 / 5
LCM(58190,58195) = 677273410

Least Common Multiple (LCM) of 58190 and 58195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58190 and 58195. First we will calculate the prime factors of 58190 and 58195.

Prime Factorization of 58190

Prime Factorization of 58195

Now multiplying the highest exponent prime factors to calculate the LCM of 58190 and 58195.

LCM(58190,58195) = 2¹ × 5¹ × 11¹ × 23² × 103¹ × 113¹
LCM(58190,58195) = 677273410