What is the Least Common Multiple of 58185 and 58192?

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 58185 and 58192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58185 and 58192, than apply into the LCM equation.

GCF(58185,58192) = 1
LCM(58185,58192) = ( 58185 × 58192) / 1
LCM(58185,58192) = 3385901520 / 1
LCM(58185,58192) = 3385901520

Least Common Multiple (LCM) of 58185 and 58192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58185 and 58192. First we will calculate the prime factors of 58185 and 58192.

Prime Factorization of 58185

Prime Factorization of 58192

Now multiplying the highest exponent prime factors to calculate the LCM of 58185 and 58192.

LCM(58185,58192) = 3³ × 5¹ × 431¹ × 2⁴ × 3637¹
LCM(58185,58192) = 3385901520