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What is the Least Common Multiple of 20606 and 20611?

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 20606 and 20611 is 424710266.

LCM(20606,20611) = 424710266

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Least Common Multiple of 20606 and 20611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20606 and 20611, than apply into the LCM equation.

GCF(20606,20611) = 1
LCM(20606,20611) = ( 20606 × 20611) / 1
LCM(20606,20611) = 424710266 / 1
LCM(20606,20611) = 424710266

Least Common Multiple (LCM) of 20606 and 20611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20606 and 20611. First we will calculate the prime factors of 20606 and 20611.

Prime Factorization of 20606

Prime factors of 20606 are 2, 10303. Prime factorization of 20606 in exponential form is:

20606 = 21 × 103031

Prime Factorization of 20611

Prime factors of 20611 are 20611. Prime factorization of 20611 in exponential form is:

20611 = 206111

Now multiplying the highest exponent prime factors to calculate the LCM of 20606 and 20611.

LCM(20606,20611) = 21 × 103031 × 206111
LCM(20606,20611) = 424710266