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What is the Least Common Multiple of 20137 and 20147?

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 20137 and 20147 is 405700139.

LCM(20137,20147) = 405700139

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Least Common Multiple of 20137 and 20147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20137 and 20147, than apply into the LCM equation.

GCF(20137,20147) = 1
LCM(20137,20147) = ( 20137 × 20147) / 1
LCM(20137,20147) = 405700139 / 1
LCM(20137,20147) = 405700139

Least Common Multiple (LCM) of 20137 and 20147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20137 and 20147. First we will calculate the prime factors of 20137 and 20147.

Prime Factorization of 20137

Prime factors of 20137 are 13, 1549. Prime factorization of 20137 in exponential form is:

20137 = 131 × 15491

Prime Factorization of 20147

Prime factors of 20147 are 20147. Prime factorization of 20147 in exponential form is:

20147 = 201471

Now multiplying the highest exponent prime factors to calculate the LCM of 20137 and 20147.

LCM(20137,20147) = 131 × 15491 × 201471
LCM(20137,20147) = 405700139