What is the Least Common Multiple of 48351 and 48367?

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 48351 and 48367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48351 and 48367, than apply into the LCM equation.

GCF(48351,48367) = 1
LCM(48351,48367) = ( 48351 × 48367) / 1
LCM(48351,48367) = 2338592817 / 1
LCM(48351,48367) = 2338592817

Least Common Multiple (LCM) of 48351 and 48367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48351 and 48367. First we will calculate the prime factors of 48351 and 48367.

Prime Factorization of 48351

Prime Factorization of 48367

Now multiplying the highest exponent prime factors to calculate the LCM of 48351 and 48367.

LCM(48351,48367) = 3¹ × 71¹ × 227¹ × 11¹ × 4397¹
LCM(48351,48367) = 2338592817