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What is the Least Common Multiple of 58277 and 58281?

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 58277 and 58281 is 3396441837.

LCM(58277,58281) = 3396441837

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Least Common Multiple of 58277 and 58281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58277 and 58281, than apply into the LCM equation.

GCF(58277,58281) = 1
LCM(58277,58281) = ( 58277 × 58281) / 1
LCM(58277,58281) = 3396441837 / 1
LCM(58277,58281) = 3396441837

Least Common Multiple (LCM) of 58277 and 58281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58277 and 58281. First we will calculate the prime factors of 58277 and 58281.

Prime Factorization of 58277

Prime factors of 58277 are 101, 577. Prime factorization of 58277 in exponential form is:

58277 = 1011 × 5771

Prime Factorization of 58281

Prime factors of 58281 are 3, 19427. Prime factorization of 58281 in exponential form is:

58281 = 31 × 194271

Now multiplying the highest exponent prime factors to calculate the LCM of 58277 and 58281.

LCM(58277,58281) = 1011 × 5771 × 31 × 194271
LCM(58277,58281) = 3396441837