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What is the Least Common Multiple of 20109 and 20116?

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 20109 and 20116 is 404512644.

LCM(20109,20116) = 404512644

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Least Common Multiple of 20109 and 20116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20109 and 20116, than apply into the LCM equation.

GCF(20109,20116) = 1
LCM(20109,20116) = ( 20109 × 20116) / 1
LCM(20109,20116) = 404512644 / 1
LCM(20109,20116) = 404512644

Least Common Multiple (LCM) of 20109 and 20116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20109 and 20116. First we will calculate the prime factors of 20109 and 20116.

Prime Factorization of 20109

Prime factors of 20109 are 3, 6703. Prime factorization of 20109 in exponential form is:

20109 = 31 × 67031

Prime Factorization of 20116

Prime factors of 20116 are 2, 47, 107. Prime factorization of 20116 in exponential form is:

20116 = 22 × 471 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 20109 and 20116.

LCM(20109,20116) = 31 × 67031 × 22 × 471 × 1071
LCM(20109,20116) = 404512644