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What is the Least Common Multiple of 16315 and 16335?

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 16315 and 16335 is 53301105.

LCM(16315,16335) = 53301105

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Least Common Multiple of 16315 and 16335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16315 and 16335, than apply into the LCM equation.

GCF(16315,16335) = 5
LCM(16315,16335) = ( 16315 × 16335) / 5
LCM(16315,16335) = 266505525 / 5
LCM(16315,16335) = 53301105

Least Common Multiple (LCM) of 16315 and 16335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16315 and 16335. First we will calculate the prime factors of 16315 and 16335.

Prime Factorization of 16315

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

16315 = 51 × 131 × 2511

Prime Factorization of 16335

Prime factors of 16335 are 3, 5, 11. Prime factorization of 16335 in exponential form is:

16335 = 33 × 51 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 16315 and 16335.

LCM(16315,16335) = 51 × 131 × 2511 × 33 × 112
LCM(16315,16335) = 53301105