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What is the Least Common Multiple of 76522 and 76537?

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 76522 and 76537 is 5856764314.

LCM(76522,76537) = 5856764314

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Least Common Multiple of 76522 and 76537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76522 and 76537, than apply into the LCM equation.

GCF(76522,76537) = 1
LCM(76522,76537) = ( 76522 × 76537) / 1
LCM(76522,76537) = 5856764314 / 1
LCM(76522,76537) = 5856764314

Least Common Multiple (LCM) of 76522 and 76537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76522 and 76537. First we will calculate the prime factors of 76522 and 76537.

Prime Factorization of 76522

Prime factors of 76522 are 2, 38261. Prime factorization of 76522 in exponential form is:

76522 = 21 × 382611

Prime Factorization of 76537

Prime factors of 76537 are 76537. Prime factorization of 76537 in exponential form is:

76537 = 765371

Now multiplying the highest exponent prime factors to calculate the LCM of 76522 and 76537.

LCM(76522,76537) = 21 × 382611 × 765371
LCM(76522,76537) = 5856764314