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What is the Least Common Multiple of 33399 and 33403?

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 33399 and 33403 is 1115626797.

LCM(33399,33403) = 1115626797

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Least Common Multiple of 33399 and 33403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33399 and 33403, than apply into the LCM equation.

GCF(33399,33403) = 1
LCM(33399,33403) = ( 33399 × 33403) / 1
LCM(33399,33403) = 1115626797 / 1
LCM(33399,33403) = 1115626797

Least Common Multiple (LCM) of 33399 and 33403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33399 and 33403. First we will calculate the prime factors of 33399 and 33403.

Prime Factorization of 33399

Prime factors of 33399 are 3, 1237. Prime factorization of 33399 in exponential form is:

33399 = 33 × 12371

Prime Factorization of 33403

Prime factors of 33403 are 33403. Prime factorization of 33403 in exponential form is:

33403 = 334031

Now multiplying the highest exponent prime factors to calculate the LCM of 33399 and 33403.

LCM(33399,33403) = 33 × 12371 × 334031
LCM(33399,33403) = 1115626797