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What is the Least Common Multiple of 66409 and 66415?

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 66409 and 66415 is 4410553735.

LCM(66409,66415) = 4410553735

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Least Common Multiple of 66409 and 66415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66409 and 66415, than apply into the LCM equation.

GCF(66409,66415) = 1
LCM(66409,66415) = ( 66409 × 66415) / 1
LCM(66409,66415) = 4410553735 / 1
LCM(66409,66415) = 4410553735

Least Common Multiple (LCM) of 66409 and 66415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66409 and 66415. First we will calculate the prime factors of 66409 and 66415.

Prime Factorization of 66409

Prime factors of 66409 are 7, 53, 179. Prime factorization of 66409 in exponential form is:

66409 = 71 × 531 × 1791

Prime Factorization of 66415

Prime factors of 66415 are 5, 37, 359. Prime factorization of 66415 in exponential form is:

66415 = 51 × 371 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 66409 and 66415.

LCM(66409,66415) = 71 × 531 × 1791 × 51 × 371 × 3591
LCM(66409,66415) = 4410553735