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What is the Least Common Multiple of 16596 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 16596 and 16614 is 15318108.

LCM(16596,16614) = 15318108

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Least Common Multiple of 16596 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 16596 and 16614, than apply into the LCM equation.

GCF(16596,16614) = 18
LCM(16596,16614) = ( 16596 × 16614) / 18
LCM(16596,16614) = 275725944 / 18
LCM(16596,16614) = 15318108

Least Common Multiple (LCM) of 16596 and 16614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16596 and 16614. First we will calculate the prime factors of 16596 and 16614.

Prime Factorization of 16596

Prime factors of 16596 are 2, 3, 461. Prime factorization of 16596 in exponential form is:

16596 = 22 × 32 × 4611

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 16596 and 16614.

LCM(16596,16614) = 22 × 32 × 4611 × 131 × 711
LCM(16596,16614) = 15318108