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What is the Least Common Multiple of 48329 and 48333?

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 (LCM) of 48329 and 48333 is 2335885557.

LCM(48329,48333) = 2335885557

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Least Common Multiple of 48329 and 48333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48329 and 48333, than apply into the LCM equation.

GCF(48329,48333) = 1
LCM(48329,48333) = ( 48329 × 48333) / 1
LCM(48329,48333) = 2335885557 / 1
LCM(48329,48333) = 2335885557

Least Common Multiple (LCM) of 48329 and 48333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48329 and 48333. First we will calculate the prime factors of 48329 and 48333.

Prime Factorization of 48329

Prime factors of 48329 are 31, 1559. Prime factorization of 48329 in exponential form is:

48329 = 311 × 15591

Prime Factorization of 48333

Prime factors of 48333 are 3, 16111. Prime factorization of 48333 in exponential form is:

48333 = 31 × 161111

Now multiplying the highest exponent prime factors to calculate the LCM of 48329 and 48333.

LCM(48329,48333) = 311 × 15591 × 31 × 161111
LCM(48329,48333) = 2335885557