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What is the Least Common Multiple of 76877 and 76897?

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 76877 and 76897 is 5911610669.

LCM(76877,76897) = 5911610669

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Least Common Multiple of 76877 and 76897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76877 and 76897, than apply into the LCM equation.

GCF(76877,76897) = 1
LCM(76877,76897) = ( 76877 × 76897) / 1
LCM(76877,76897) = 5911610669 / 1
LCM(76877,76897) = 5911610669

Least Common Multiple (LCM) of 76877 and 76897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76877 and 76897. First we will calculate the prime factors of 76877 and 76897.

Prime Factorization of 76877

Prime factors of 76877 are 59, 1303. Prime factorization of 76877 in exponential form is:

76877 = 591 × 13031

Prime Factorization of 76897

Prime factors of 76897 are 131, 587. Prime factorization of 76897 in exponential form is:

76897 = 1311 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 76877 and 76897.

LCM(76877,76897) = 591 × 13031 × 1311 × 5871
LCM(76877,76897) = 5911610669