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What is the Least Common Multiple of 16621 and 16629?

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 16621 and 16629 is 276390609.

LCM(16621,16629) = 276390609

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Least Common Multiple of 16621 and 16629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16621 and 16629, than apply into the LCM equation.

GCF(16621,16629) = 1
LCM(16621,16629) = ( 16621 × 16629) / 1
LCM(16621,16629) = 276390609 / 1
LCM(16621,16629) = 276390609

Least Common Multiple (LCM) of 16621 and 16629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16621 and 16629. First we will calculate the prime factors of 16621 and 16629.

Prime Factorization of 16621

Prime factors of 16621 are 11, 1511. Prime factorization of 16621 in exponential form is:

16621 = 111 × 15111

Prime Factorization of 16629

Prime factors of 16629 are 3, 23, 241. Prime factorization of 16629 in exponential form is:

16629 = 31 × 231 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 16621 and 16629.

LCM(16621,16629) = 111 × 15111 × 31 × 231 × 2411
LCM(16621,16629) = 276390609