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What is the Least Common Multiple of 16607 and 16616?

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 16607 and 16616 is 275941912.

LCM(16607,16616) = 275941912

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Least Common Multiple of 16607 and 16616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16607 and 16616, than apply into the LCM equation.

GCF(16607,16616) = 1
LCM(16607,16616) = ( 16607 × 16616) / 1
LCM(16607,16616) = 275941912 / 1
LCM(16607,16616) = 275941912

Least Common Multiple (LCM) of 16607 and 16616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16607 and 16616. First we will calculate the prime factors of 16607 and 16616.

Prime Factorization of 16607

Prime factors of 16607 are 16607. Prime factorization of 16607 in exponential form is:

16607 = 166071

Prime Factorization of 16616

Prime factors of 16616 are 2, 31, 67. Prime factorization of 16616 in exponential form is:

16616 = 23 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 16607 and 16616.

LCM(16607,16616) = 166071 × 23 × 311 × 671
LCM(16607,16616) = 275941912