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What is the Least Common Multiple of 58799 and 58812?

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 58799 and 58812 is 266006676.

LCM(58799,58812) = 266006676

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Least Common Multiple of 58799 and 58812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58799 and 58812, than apply into the LCM equation.

GCF(58799,58812) = 13
LCM(58799,58812) = ( 58799 × 58812) / 13
LCM(58799,58812) = 3458086788 / 13
LCM(58799,58812) = 266006676

Least Common Multiple (LCM) of 58799 and 58812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58799 and 58812. First we will calculate the prime factors of 58799 and 58812.

Prime Factorization of 58799

Prime factors of 58799 are 13, 4523. Prime factorization of 58799 in exponential form is:

58799 = 131 × 45231

Prime Factorization of 58812

Prime factors of 58812 are 2, 3, 13, 29. Prime factorization of 58812 in exponential form is:

58812 = 22 × 31 × 132 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 58799 and 58812.

LCM(58799,58812) = 132 × 45231 × 22 × 31 × 291
LCM(58799,58812) = 266006676