What is the Least Common Multiple of 48333 and 48351?

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 48333 and 48351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48333 and 48351, than apply into the LCM equation.

GCF(48333,48351) = 3
LCM(48333,48351) = ( 48333 × 48351) / 3
LCM(48333,48351) = 2336948883 / 3
LCM(48333,48351) = 778982961

Least Common Multiple (LCM) of 48333 and 48351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48333 and 48351. First we will calculate the prime factors of 48333 and 48351.

Prime Factorization of 48333

Prime Factorization of 48351

Now multiplying the highest exponent prime factors to calculate the LCM of 48333 and 48351.

LCM(48333,48351) = 3¹ × 16111¹ × 71¹ × 227¹
LCM(48333,48351) = 778982961