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What is the Least Common Multiple of 15288 and 15308?

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 15288 and 15308 is 58507176.

LCM(15288,15308) = 58507176

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Least Common Multiple of 15288 and 15308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15288 and 15308, than apply into the LCM equation.

GCF(15288,15308) = 4
LCM(15288,15308) = ( 15288 × 15308) / 4
LCM(15288,15308) = 234028704 / 4
LCM(15288,15308) = 58507176

Least Common Multiple (LCM) of 15288 and 15308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15288 and 15308. First we will calculate the prime factors of 15288 and 15308.

Prime Factorization of 15288

Prime factors of 15288 are 2, 3, 7, 13. Prime factorization of 15288 in exponential form is:

15288 = 23 × 31 × 72 × 131

Prime Factorization of 15308

Prime factors of 15308 are 2, 43, 89. Prime factorization of 15308 in exponential form is:

15308 = 22 × 431 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 15288 and 15308.

LCM(15288,15308) = 23 × 31 × 72 × 131 × 431 × 891
LCM(15288,15308) = 58507176