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What is the Least Common Multiple of 16652 and 16671?

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 16652 and 16671 is 277605492.

LCM(16652,16671) = 277605492

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Least Common Multiple of 16652 and 16671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16652 and 16671, than apply into the LCM equation.

GCF(16652,16671) = 1
LCM(16652,16671) = ( 16652 × 16671) / 1
LCM(16652,16671) = 277605492 / 1
LCM(16652,16671) = 277605492

Least Common Multiple (LCM) of 16652 and 16671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16652 and 16671. First we will calculate the prime factors of 16652 and 16671.

Prime Factorization of 16652

Prime factors of 16652 are 2, 23, 181. Prime factorization of 16652 in exponential form is:

16652 = 22 × 231 × 1811

Prime Factorization of 16671

Prime factors of 16671 are 3, 5557. Prime factorization of 16671 in exponential form is:

16671 = 31 × 55571

Now multiplying the highest exponent prime factors to calculate the LCM of 16652 and 16671.

LCM(16652,16671) = 22 × 231 × 1811 × 31 × 55571
LCM(16652,16671) = 277605492