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What is the Least Common Multiple of 8405 and 8418?

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 8405 and 8418 is 70753290.

LCM(8405,8418) = 70753290

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Least Common Multiple of 8405 and 8418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8405 and 8418, than apply into the LCM equation.

GCF(8405,8418) = 1
LCM(8405,8418) = ( 8405 × 8418) / 1
LCM(8405,8418) = 70753290 / 1
LCM(8405,8418) = 70753290

Least Common Multiple (LCM) of 8405 and 8418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8405 and 8418. First we will calculate the prime factors of 8405 and 8418.

Prime Factorization of 8405

Prime factors of 8405 are 5, 41. Prime factorization of 8405 in exponential form is:

8405 = 51 × 412

Prime Factorization of 8418

Prime factors of 8418 are 2, 3, 23, 61. Prime factorization of 8418 in exponential form is:

8418 = 21 × 31 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 8405 and 8418.

LCM(8405,8418) = 51 × 412 × 21 × 31 × 231 × 611
LCM(8405,8418) = 70753290