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What is the Least Common Multiple of 79477 and 79491?

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 79477 and 79491 is 6317706207.

LCM(79477,79491) = 6317706207

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Least Common Multiple of 79477 and 79491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79477 and 79491, than apply into the LCM equation.

GCF(79477,79491) = 1
LCM(79477,79491) = ( 79477 × 79491) / 1
LCM(79477,79491) = 6317706207 / 1
LCM(79477,79491) = 6317706207

Least Common Multiple (LCM) of 79477 and 79491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79477 and 79491. First we will calculate the prime factors of 79477 and 79491.

Prime Factorization of 79477

Prime factors of 79477 are 19, 47, 89. Prime factorization of 79477 in exponential form is:

79477 = 191 × 471 × 891

Prime Factorization of 79491

Prime factors of 79491 are 3, 26497. Prime factorization of 79491 in exponential form is:

79491 = 31 × 264971

Now multiplying the highest exponent prime factors to calculate the LCM of 79477 and 79491.

LCM(79477,79491) = 191 × 471 × 891 × 31 × 264971
LCM(79477,79491) = 6317706207