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What is the Least Common Multiple of 16553 and 16568?

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 16553 and 16568 is 274250104.

LCM(16553,16568) = 274250104

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Least Common Multiple of 16553 and 16568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16553 and 16568, than apply into the LCM equation.

GCF(16553,16568) = 1
LCM(16553,16568) = ( 16553 × 16568) / 1
LCM(16553,16568) = 274250104 / 1
LCM(16553,16568) = 274250104

Least Common Multiple (LCM) of 16553 and 16568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16553 and 16568. First we will calculate the prime factors of 16553 and 16568.

Prime Factorization of 16553

Prime factors of 16553 are 16553. Prime factorization of 16553 in exponential form is:

16553 = 165531

Prime Factorization of 16568

Prime factors of 16568 are 2, 19, 109. Prime factorization of 16568 in exponential form is:

16568 = 23 × 191 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 16553 and 16568.

LCM(16553,16568) = 165531 × 23 × 191 × 1091
LCM(16553,16568) = 274250104