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What is the Least Common Multiple of 76363 and 76373?

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 76363 and 76373 is 5832071399.

LCM(76363,76373) = 5832071399

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Least Common Multiple of 76363 and 76373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76363 and 76373, than apply into the LCM equation.

GCF(76363,76373) = 1
LCM(76363,76373) = ( 76363 × 76373) / 1
LCM(76363,76373) = 5832071399 / 1
LCM(76363,76373) = 5832071399

Least Common Multiple (LCM) of 76363 and 76373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76363 and 76373. First we will calculate the prime factors of 76363 and 76373.

Prime Factorization of 76363

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

76363 = 71 × 109091

Prime Factorization of 76373

Prime factors of 76373 are 11, 53, 131. Prime factorization of 76373 in exponential form is:

76373 = 111 × 531 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 76363 and 76373.

LCM(76363,76373) = 71 × 109091 × 111 × 531 × 1311
LCM(76363,76373) = 5832071399