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What is the Least Common Multiple of 76897 and 76916?

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 76897 and 76916 is 5914609652.

LCM(76897,76916) = 5914609652

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Least Common Multiple of 76897 and 76916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76897 and 76916, than apply into the LCM equation.

GCF(76897,76916) = 1
LCM(76897,76916) = ( 76897 × 76916) / 1
LCM(76897,76916) = 5914609652 / 1
LCM(76897,76916) = 5914609652

Least Common Multiple (LCM) of 76897 and 76916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76897 and 76916. First we will calculate the prime factors of 76897 and 76916.

Prime Factorization of 76897

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

76897 = 1311 × 5871

Prime Factorization of 76916

Prime factors of 76916 are 2, 7, 41, 67. Prime factorization of 76916 in exponential form is:

76916 = 22 × 71 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 76897 and 76916.

LCM(76897,76916) = 1311 × 5871 × 22 × 71 × 411 × 671
LCM(76897,76916) = 5914609652