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What is the Least Common Multiple of 8478 and 8486?

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 8478 and 8486 is 35972154.

LCM(8478,8486) = 35972154

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Least Common Multiple of 8478 and 8486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8478 and 8486, than apply into the LCM equation.

GCF(8478,8486) = 2
LCM(8478,8486) = ( 8478 × 8486) / 2
LCM(8478,8486) = 71944308 / 2
LCM(8478,8486) = 35972154

Least Common Multiple (LCM) of 8478 and 8486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8478 and 8486. First we will calculate the prime factors of 8478 and 8486.

Prime Factorization of 8478

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

8478 = 21 × 33 × 1571

Prime Factorization of 8486

Prime factors of 8486 are 2, 4243. Prime factorization of 8486 in exponential form is:

8486 = 21 × 42431

Now multiplying the highest exponent prime factors to calculate the LCM of 8478 and 8486.

LCM(8478,8486) = 21 × 33 × 1571 × 42431
LCM(8478,8486) = 35972154