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What is the Least Common Multiple of 15288 and 15304?

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 15304 is 29245944.

LCM(15288,15304) = 29245944

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Least Common Multiple of 15288 and 15304 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 15304, than apply into the LCM equation.

GCF(15288,15304) = 8
LCM(15288,15304) = ( 15288 × 15304) / 8
LCM(15288,15304) = 233967552 / 8
LCM(15288,15304) = 29245944

Least Common Multiple (LCM) of 15288 and 15304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15288 and 15304. First we will calculate the prime factors of 15288 and 15304.

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 15304

Prime factors of 15304 are 2, 1913. Prime factorization of 15304 in exponential form is:

15304 = 23 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 15288 and 15304.

LCM(15288,15304) = 23 × 31 × 72 × 131 × 19131
LCM(15288,15304) = 29245944