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What is the Least Common Multiple of 16305 and 16315?

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 16305 and 16315 is 53203215.

LCM(16305,16315) = 53203215

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Least Common Multiple of 16305 and 16315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16305 and 16315, than apply into the LCM equation.

GCF(16305,16315) = 5
LCM(16305,16315) = ( 16305 × 16315) / 5
LCM(16305,16315) = 266016075 / 5
LCM(16305,16315) = 53203215

Least Common Multiple (LCM) of 16305 and 16315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16305 and 16315. First we will calculate the prime factors of 16305 and 16315.

Prime Factorization of 16305

Prime factors of 16305 are 3, 5, 1087. Prime factorization of 16305 in exponential form is:

16305 = 31 × 51 × 10871

Prime Factorization of 16315

Prime factors of 16315 are 5, 13, 251. Prime factorization of 16315 in exponential form is:

16315 = 51 × 131 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 16305 and 16315.

LCM(16305,16315) = 31 × 51 × 10871 × 131 × 2511
LCM(16305,16315) = 53203215