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What is the Least Common Multiple of 86877 and 86891?

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 86877 and 86891 is 1078404201.

LCM(86877,86891) = 1078404201

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Least Common Multiple of 86877 and 86891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86877 and 86891, than apply into the LCM equation.

GCF(86877,86891) = 7
LCM(86877,86891) = ( 86877 × 86891) / 7
LCM(86877,86891) = 7548829407 / 7
LCM(86877,86891) = 1078404201

Least Common Multiple (LCM) of 86877 and 86891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86877 and 86891. First we will calculate the prime factors of 86877 and 86891.

Prime Factorization of 86877

Prime factors of 86877 are 3, 7, 197. Prime factorization of 86877 in exponential form is:

86877 = 32 × 72 × 1971

Prime Factorization of 86891

Prime factors of 86891 are 7, 12413. Prime factorization of 86891 in exponential form is:

86891 = 71 × 124131

Now multiplying the highest exponent prime factors to calculate the LCM of 86877 and 86891.

LCM(86877,86891) = 32 × 72 × 1971 × 124131
LCM(86877,86891) = 1078404201