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What is the Least Common Multiple of 8469 and 8477?

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 8469 and 8477 is 71791713.

LCM(8469,8477) = 71791713

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Least Common Multiple of 8469 and 8477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8469 and 8477, than apply into the LCM equation.

GCF(8469,8477) = 1
LCM(8469,8477) = ( 8469 × 8477) / 1
LCM(8469,8477) = 71791713 / 1
LCM(8469,8477) = 71791713

Least Common Multiple (LCM) of 8469 and 8477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8469 and 8477. First we will calculate the prime factors of 8469 and 8477.

Prime Factorization of 8469

Prime factors of 8469 are 3, 941. Prime factorization of 8469 in exponential form is:

8469 = 32 × 9411

Prime Factorization of 8477

Prime factors of 8477 are 7, 173. Prime factorization of 8477 in exponential form is:

8477 = 72 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 8469 and 8477.

LCM(8469,8477) = 32 × 9411 × 72 × 1731
LCM(8469,8477) = 71791713