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What is the Least Common Multiple of 8472 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 8472 and 8477 is 71817144.

LCM(8472,8477) = 71817144

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Least Common Multiple of 8472 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 8472 and 8477, than apply into the LCM equation.

GCF(8472,8477) = 1
LCM(8472,8477) = ( 8472 × 8477) / 1
LCM(8472,8477) = 71817144 / 1
LCM(8472,8477) = 71817144

Least Common Multiple (LCM) of 8472 and 8477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8472 and 8477. First we will calculate the prime factors of 8472 and 8477.

Prime Factorization of 8472

Prime factors of 8472 are 2, 3, 353. Prime factorization of 8472 in exponential form is:

8472 = 23 × 31 × 3531

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 8472 and 8477.

LCM(8472,8477) = 23 × 31 × 3531 × 72 × 1731
LCM(8472,8477) = 71817144