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What is the Least Common Multiple of 59411 and 59415?

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 59411 and 59415 is 3529904565.

LCM(59411,59415) = 3529904565

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Least Common Multiple of 59411 and 59415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59411 and 59415, than apply into the LCM equation.

GCF(59411,59415) = 1
LCM(59411,59415) = ( 59411 × 59415) / 1
LCM(59411,59415) = 3529904565 / 1
LCM(59411,59415) = 3529904565

Least Common Multiple (LCM) of 59411 and 59415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59411 and 59415. First we will calculate the prime factors of 59411 and 59415.

Prime Factorization of 59411

Prime factors of 59411 are 11, 491. Prime factorization of 59411 in exponential form is:

59411 = 112 × 4911

Prime Factorization of 59415

Prime factors of 59415 are 3, 5, 17, 233. Prime factorization of 59415 in exponential form is:

59415 = 31 × 51 × 171 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 59411 and 59415.

LCM(59411,59415) = 112 × 4911 × 31 × 51 × 171 × 2331
LCM(59411,59415) = 3529904565