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What is the Least Common Multiple of 86463 and 86467?

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 86463 and 86467 is 7476196221.

LCM(86463,86467) = 7476196221

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Least Common Multiple of 86463 and 86467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86463 and 86467, than apply into the LCM equation.

GCF(86463,86467) = 1
LCM(86463,86467) = ( 86463 × 86467) / 1
LCM(86463,86467) = 7476196221 / 1
LCM(86463,86467) = 7476196221

Least Common Multiple (LCM) of 86463 and 86467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86463 and 86467. First we will calculate the prime factors of 86463 and 86467.

Prime Factorization of 86463

Prime factors of 86463 are 3, 13, 739. Prime factorization of 86463 in exponential form is:

86463 = 32 × 131 × 7391

Prime Factorization of 86467

Prime factors of 86467 are 86467. Prime factorization of 86467 in exponential form is:

86467 = 864671

Now multiplying the highest exponent prime factors to calculate the LCM of 86463 and 86467.

LCM(86463,86467) = 32 × 131 × 7391 × 864671
LCM(86463,86467) = 7476196221