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What is the Least Common Multiple of 58255 and 58266?

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 58255 and 58266 is 3394285830.

LCM(58255,58266) = 3394285830

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Least Common Multiple of 58255 and 58266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58255 and 58266, than apply into the LCM equation.

GCF(58255,58266) = 1
LCM(58255,58266) = ( 58255 × 58266) / 1
LCM(58255,58266) = 3394285830 / 1
LCM(58255,58266) = 3394285830

Least Common Multiple (LCM) of 58255 and 58266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58255 and 58266. First we will calculate the prime factors of 58255 and 58266.

Prime Factorization of 58255

Prime factors of 58255 are 5, 61, 191. Prime factorization of 58255 in exponential form is:

58255 = 51 × 611 × 1911

Prime Factorization of 58266

Prime factors of 58266 are 2, 3, 13, 83. Prime factorization of 58266 in exponential form is:

58266 = 21 × 33 × 131 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 58255 and 58266.

LCM(58255,58266) = 51 × 611 × 1911 × 21 × 33 × 131 × 831
LCM(58255,58266) = 3394285830