What is the Least Common Multiple of 48185 and 48195?

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 48185 and 48195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48185 and 48195, than apply into the LCM equation.

GCF(48185,48195) = 5
LCM(48185,48195) = ( 48185 × 48195) / 5
LCM(48185,48195) = 2322276075 / 5
LCM(48185,48195) = 464455215

Least Common Multiple (LCM) of 48185 and 48195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48185 and 48195. First we will calculate the prime factors of 48185 and 48195.

Prime Factorization of 48185

Prime Factorization of 48195

Now multiplying the highest exponent prime factors to calculate the LCM of 48185 and 48195.

LCM(48185,48195) = 5¹ × 23¹ × 419¹ × 3⁴ × 7¹ × 17¹
LCM(48185,48195) = 464455215