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What is the Least Common Multiple of 76357 and 76363?

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 76357 and 76363 is 5830849591.

LCM(76357,76363) = 5830849591

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Least Common Multiple of 76357 and 76363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76357 and 76363, than apply into the LCM equation.

GCF(76357,76363) = 1
LCM(76357,76363) = ( 76357 × 76363) / 1
LCM(76357,76363) = 5830849591 / 1
LCM(76357,76363) = 5830849591

Least Common Multiple (LCM) of 76357 and 76363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76357 and 76363. First we will calculate the prime factors of 76357 and 76363.

Prime Factorization of 76357

Prime factors of 76357 are 29, 2633. Prime factorization of 76357 in exponential form is:

76357 = 291 × 26331

Prime Factorization of 76363

Prime factors of 76363 are 7, 10909. Prime factorization of 76363 in exponential form is:

76363 = 71 × 109091

Now multiplying the highest exponent prime factors to calculate the LCM of 76357 and 76363.

LCM(76357,76363) = 291 × 26331 × 71 × 109091
LCM(76357,76363) = 5830849591