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What is the Least Common Multiple of 16614 and 16626?

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 16614 and 16626 is 46037394.

LCM(16614,16626) = 46037394

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Least Common Multiple of 16614 and 16626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16614 and 16626, than apply into the LCM equation.

GCF(16614,16626) = 6
LCM(16614,16626) = ( 16614 × 16626) / 6
LCM(16614,16626) = 276224364 / 6
LCM(16614,16626) = 46037394

Least Common Multiple (LCM) of 16614 and 16626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16614 and 16626. First we will calculate the prime factors of 16614 and 16626.

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

Prime Factorization of 16626

Prime factors of 16626 are 2, 3, 17, 163. Prime factorization of 16626 in exponential form is:

16626 = 21 × 31 × 171 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 16614 and 16626.

LCM(16614,16626) = 21 × 32 × 131 × 711 × 171 × 1631
LCM(16614,16626) = 46037394