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What is the Least Common Multiple of 58104 and 58119?

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 58104 and 58119 is 1125648792.

LCM(58104,58119) = 1125648792

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Least Common Multiple of 58104 and 58119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58104 and 58119, than apply into the LCM equation.

GCF(58104,58119) = 3
LCM(58104,58119) = ( 58104 × 58119) / 3
LCM(58104,58119) = 3376946376 / 3
LCM(58104,58119) = 1125648792

Least Common Multiple (LCM) of 58104 and 58119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58104 and 58119. First we will calculate the prime factors of 58104 and 58119.

Prime Factorization of 58104

Prime factors of 58104 are 2, 3, 269. Prime factorization of 58104 in exponential form is:

58104 = 23 × 33 × 2691

Prime Factorization of 58119

Prime factors of 58119 are 3, 19373. Prime factorization of 58119 in exponential form is:

58119 = 31 × 193731

Now multiplying the highest exponent prime factors to calculate the LCM of 58104 and 58119.

LCM(58104,58119) = 23 × 33 × 2691 × 193731
LCM(58104,58119) = 1125648792