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What is the Least Common Multiple of 59469 and 59479?

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 59469 and 59479 is 3537156651.

LCM(59469,59479) = 3537156651

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Least Common Multiple of 59469 and 59479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59469 and 59479, than apply into the LCM equation.

GCF(59469,59479) = 1
LCM(59469,59479) = ( 59469 × 59479) / 1
LCM(59469,59479) = 3537156651 / 1
LCM(59469,59479) = 3537156651

Least Common Multiple (LCM) of 59469 and 59479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59469 and 59479. First we will calculate the prime factors of 59469 and 59479.

Prime Factorization of 59469

Prime factors of 59469 are 3, 43, 461. Prime factorization of 59469 in exponential form is:

59469 = 31 × 431 × 4611

Prime Factorization of 59479

Prime factors of 59479 are 7, 29, 293. Prime factorization of 59479 in exponential form is:

59479 = 71 × 291 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 59469 and 59479.

LCM(59469,59479) = 31 × 431 × 4611 × 71 × 291 × 2931
LCM(59469,59479) = 3537156651