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What is the Least Common Multiple of 76537 and 76555?

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 76537 and 76555 is 5859290035.

LCM(76537,76555) = 5859290035

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Least Common Multiple of 76537 and 76555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76537 and 76555, than apply into the LCM equation.

GCF(76537,76555) = 1
LCM(76537,76555) = ( 76537 × 76555) / 1
LCM(76537,76555) = 5859290035 / 1
LCM(76537,76555) = 5859290035

Least Common Multiple (LCM) of 76537 and 76555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76537 and 76555. First we will calculate the prime factors of 76537 and 76555.

Prime Factorization of 76537

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

76537 = 765371

Prime Factorization of 76555

Prime factors of 76555 are 5, 61, 251. Prime factorization of 76555 in exponential form is:

76555 = 51 × 611 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 76537 and 76555.

LCM(76537,76555) = 765371 × 51 × 611 × 2511
LCM(76537,76555) = 5859290035