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What is the Least Common Multiple of 16626 and 16631?

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 16626 and 16631 is 276507006.

LCM(16626,16631) = 276507006

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Least Common Multiple of 16626 and 16631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16626 and 16631, than apply into the LCM equation.

GCF(16626,16631) = 1
LCM(16626,16631) = ( 16626 × 16631) / 1
LCM(16626,16631) = 276507006 / 1
LCM(16626,16631) = 276507006

Least Common Multiple (LCM) of 16626 and 16631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16626 and 16631. First we will calculate the prime factors of 16626 and 16631.

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

Prime Factorization of 16631

Prime factors of 16631 are 16631. Prime factorization of 16631 in exponential form is:

16631 = 166311

Now multiplying the highest exponent prime factors to calculate the LCM of 16626 and 16631.

LCM(16626,16631) = 21 × 31 × 171 × 1631 × 166311
LCM(16626,16631) = 276507006