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What is the Least Common Multiple of 8463 and 8478?

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 8463 and 8478 is 23916438.

LCM(8463,8478) = 23916438

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Least Common Multiple of 8463 and 8478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8463 and 8478, than apply into the LCM equation.

GCF(8463,8478) = 3
LCM(8463,8478) = ( 8463 × 8478) / 3
LCM(8463,8478) = 71749314 / 3
LCM(8463,8478) = 23916438

Least Common Multiple (LCM) of 8463 and 8478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8463 and 8478. First we will calculate the prime factors of 8463 and 8478.

Prime Factorization of 8463

Prime factors of 8463 are 3, 7, 13, 31. Prime factorization of 8463 in exponential form is:

8463 = 31 × 71 × 131 × 311

Prime Factorization of 8478

Prime factors of 8478 are 2, 3, 157. Prime factorization of 8478 in exponential form is:

8478 = 21 × 33 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 8463 and 8478.

LCM(8463,8478) = 33 × 71 × 131 × 311 × 21 × 1571
LCM(8463,8478) = 23916438