What is the Least Common Multiple of 48298 and 48313?

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 48298 and 48313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48298 and 48313, than apply into the LCM equation.

GCF(48298,48313) = 1
LCM(48298,48313) = ( 48298 × 48313) / 1
LCM(48298,48313) = 2333421274 / 1
LCM(48298,48313) = 2333421274

Least Common Multiple (LCM) of 48298 and 48313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48298 and 48313. First we will calculate the prime factors of 48298 and 48313.

Prime Factorization of 48298

Prime Factorization of 48313

Now multiplying the highest exponent prime factors to calculate the LCM of 48298 and 48313.

LCM(48298,48313) = 2¹ × 19¹ × 31¹ × 41¹ × 48313¹
LCM(48298,48313) = 2333421274