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What is the Least Common Multiple of 20147 and 20157?

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 20147 and 20157 is 406103079.

LCM(20147,20157) = 406103079

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Least Common Multiple of 20147 and 20157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20147 and 20157, than apply into the LCM equation.

GCF(20147,20157) = 1
LCM(20147,20157) = ( 20147 × 20157) / 1
LCM(20147,20157) = 406103079 / 1
LCM(20147,20157) = 406103079

Least Common Multiple (LCM) of 20147 and 20157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20147 and 20157. First we will calculate the prime factors of 20147 and 20157.

Prime Factorization of 20147

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

20147 = 201471

Prime Factorization of 20157

Prime factors of 20157 are 3, 6719. Prime factorization of 20157 in exponential form is:

20157 = 31 × 67191

Now multiplying the highest exponent prime factors to calculate the LCM of 20147 and 20157.

LCM(20147,20157) = 201471 × 31 × 67191
LCM(20147,20157) = 406103079