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What is the Least Common Multiple of 86463 and 86477?

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 86477 is 7477060851.

LCM(86463,86477) = 7477060851

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Least Common Multiple of 86463 and 86477 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 86477, than apply into the LCM equation.

GCF(86463,86477) = 1
LCM(86463,86477) = ( 86463 × 86477) / 1
LCM(86463,86477) = 7477060851 / 1
LCM(86463,86477) = 7477060851

Least Common Multiple (LCM) of 86463 and 86477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86463 and 86477. First we will calculate the prime factors of 86463 and 86477.

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 86477

Prime factors of 86477 are 86477. Prime factorization of 86477 in exponential form is:

86477 = 864771

Now multiplying the highest exponent prime factors to calculate the LCM of 86463 and 86477.

LCM(86463,86477) = 32 × 131 × 7391 × 864771
LCM(86463,86477) = 7477060851