What is the Least Common Multiple of 48278 and 48298?

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 48278 and 48298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48278 and 48298, than apply into the LCM equation.

GCF(48278,48298) = 2
LCM(48278,48298) = ( 48278 × 48298) / 2
LCM(48278,48298) = 2331730844 / 2
LCM(48278,48298) = 1165865422

Least Common Multiple (LCM) of 48278 and 48298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48278 and 48298. First we will calculate the prime factors of 48278 and 48298.

Prime Factorization of 48278

Prime Factorization of 48298

Now multiplying the highest exponent prime factors to calculate the LCM of 48278 and 48298.

LCM(48278,48298) = 2¹ × 101¹ × 239¹ × 19¹ × 31¹ × 41¹
LCM(48278,48298) = 1165865422