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What is the Least Common Multiple of 79367 and 79373?

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 79367 and 79373 is 6299596891.

LCM(79367,79373) = 6299596891

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Least Common Multiple of 79367 and 79373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79367 and 79373, than apply into the LCM equation.

GCF(79367,79373) = 1
LCM(79367,79373) = ( 79367 × 79373) / 1
LCM(79367,79373) = 6299596891 / 1
LCM(79367,79373) = 6299596891

Least Common Multiple (LCM) of 79367 and 79373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79367 and 79373. First we will calculate the prime factors of 79367 and 79373.

Prime Factorization of 79367

Prime factors of 79367 are 79367. Prime factorization of 79367 in exponential form is:

79367 = 793671

Prime Factorization of 79373

Prime factors of 79373 are 7, 17, 23, 29. Prime factorization of 79373 in exponential form is:

79373 = 71 × 171 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 79367 and 79373.

LCM(79367,79373) = 793671 × 71 × 171 × 231 × 291
LCM(79367,79373) = 6299596891