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What is the Least Common Multiple of 79269 and 79273?

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 79269 and 79273 is 6283891437.

LCM(79269,79273) = 6283891437

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Least Common Multiple of 79269 and 79273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79269 and 79273, than apply into the LCM equation.

GCF(79269,79273) = 1
LCM(79269,79273) = ( 79269 × 79273) / 1
LCM(79269,79273) = 6283891437 / 1
LCM(79269,79273) = 6283891437

Least Common Multiple (LCM) of 79269 and 79273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79269 and 79273. First we will calculate the prime factors of 79269 and 79273.

Prime Factorization of 79269

Prime factors of 79269 are 3, 26423. Prime factorization of 79269 in exponential form is:

79269 = 31 × 264231

Prime Factorization of 79273

Prime factors of 79273 are 79273. Prime factorization of 79273 in exponential form is:

79273 = 792731

Now multiplying the highest exponent prime factors to calculate the LCM of 79269 and 79273.

LCM(79269,79273) = 31 × 264231 × 792731
LCM(79269,79273) = 6283891437