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What is the Least Common Multiple of 79423 and 79438?

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 79423 and 79438 is 6309204274.

LCM(79423,79438) = 6309204274

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Least Common Multiple of 79423 and 79438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79423 and 79438, than apply into the LCM equation.

GCF(79423,79438) = 1
LCM(79423,79438) = ( 79423 × 79438) / 1
LCM(79423,79438) = 6309204274 / 1
LCM(79423,79438) = 6309204274

Least Common Multiple (LCM) of 79423 and 79438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79423 and 79438. First we will calculate the prime factors of 79423 and 79438.

Prime Factorization of 79423

Prime factors of 79423 are 79423. Prime factorization of 79423 in exponential form is:

79423 = 794231

Prime Factorization of 79438

Prime factors of 79438 are 2, 39719. Prime factorization of 79438 in exponential form is:

79438 = 21 × 397191

Now multiplying the highest exponent prime factors to calculate the LCM of 79423 and 79438.

LCM(79423,79438) = 794231 × 21 × 397191
LCM(79423,79438) = 6309204274