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What is the Least Common Multiple of 16605 and 16614?

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 16605 and 16614 is 30652830.

LCM(16605,16614) = 30652830

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Least Common Multiple of 16605 and 16614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16605 and 16614, than apply into the LCM equation.

GCF(16605,16614) = 9
LCM(16605,16614) = ( 16605 × 16614) / 9
LCM(16605,16614) = 275875470 / 9
LCM(16605,16614) = 30652830

Least Common Multiple (LCM) of 16605 and 16614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16605 and 16614. First we will calculate the prime factors of 16605 and 16614.

Prime Factorization of 16605

Prime factors of 16605 are 3, 5, 41. Prime factorization of 16605 in exponential form is:

16605 = 34 × 51 × 411

Prime Factorization of 16614

Prime factors of 16614 are 2, 3, 13, 71. Prime factorization of 16614 in exponential form is:

16614 = 21 × 32 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 16605 and 16614.

LCM(16605,16614) = 34 × 51 × 411 × 21 × 131 × 711
LCM(16605,16614) = 30652830