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What is the Least Common Multiple of 59477 and 59481?

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 59477 and 59481 is 3537751437.

LCM(59477,59481) = 3537751437

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Least Common Multiple of 59477 and 59481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59477 and 59481, than apply into the LCM equation.

GCF(59477,59481) = 1
LCM(59477,59481) = ( 59477 × 59481) / 1
LCM(59477,59481) = 3537751437 / 1
LCM(59477,59481) = 3537751437

Least Common Multiple (LCM) of 59477 and 59481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59477 and 59481. First we will calculate the prime factors of 59477 and 59481.

Prime Factorization of 59477

Prime factors of 59477 are 11, 5407. Prime factorization of 59477 in exponential form is:

59477 = 111 × 54071

Prime Factorization of 59481

Prime factors of 59481 are 3, 2203. Prime factorization of 59481 in exponential form is:

59481 = 33 × 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 59477 and 59481.

LCM(59477,59481) = 111 × 54071 × 33 × 22031
LCM(59477,59481) = 3537751437