What is the Least Common Multiple of 48279 and 48283?

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 48279 and 48283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48279 and 48283, than apply into the LCM equation.

GCF(48279,48283) = 1
LCM(48279,48283) = ( 48279 × 48283) / 1
LCM(48279,48283) = 2331054957 / 1
LCM(48279,48283) = 2331054957

Least Common Multiple (LCM) of 48279 and 48283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48279 and 48283. First we will calculate the prime factors of 48279 and 48283.

Prime Factorization of 48279

Prime Factorization of 48283

Now multiplying the highest exponent prime factors to calculate the LCM of 48279 and 48283.

LCM(48279,48283) = 3¹ × 7¹ × 11² × 19¹ × 53¹ × 911¹
LCM(48279,48283) = 2331054957