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What is the Least Common Multiple of 79399 and 79403?

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 79399 and 79403 is 6304518797.

LCM(79399,79403) = 6304518797

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Least Common Multiple of 79399 and 79403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79399 and 79403, than apply into the LCM equation.

GCF(79399,79403) = 1
LCM(79399,79403) = ( 79399 × 79403) / 1
LCM(79399,79403) = 6304518797 / 1
LCM(79399,79403) = 6304518797

Least Common Multiple (LCM) of 79399 and 79403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79399 and 79403. First we will calculate the prime factors of 79399 and 79403.

Prime Factorization of 79399

Prime factors of 79399 are 79399. Prime factorization of 79399 in exponential form is:

79399 = 793991

Prime Factorization of 79403

Prime factors of 79403 are 271, 293. Prime factorization of 79403 in exponential form is:

79403 = 2711 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 79399 and 79403.

LCM(79399,79403) = 793991 × 2711 × 2931
LCM(79399,79403) = 6304518797