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What is the Least Common Multiple of 20155 and 20159?

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 20155 and 20159 is 406304645.

LCM(20155,20159) = 406304645

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Least Common Multiple of 20155 and 20159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20155 and 20159, than apply into the LCM equation.

GCF(20155,20159) = 1
LCM(20155,20159) = ( 20155 × 20159) / 1
LCM(20155,20159) = 406304645 / 1
LCM(20155,20159) = 406304645

Least Common Multiple (LCM) of 20155 and 20159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20155 and 20159. First we will calculate the prime factors of 20155 and 20159.

Prime Factorization of 20155

Prime factors of 20155 are 5, 29, 139. Prime factorization of 20155 in exponential form is:

20155 = 51 × 291 × 1391

Prime Factorization of 20159

Prime factors of 20159 are 19, 1061. Prime factorization of 20159 in exponential form is:

20159 = 191 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 20155 and 20159.

LCM(20155,20159) = 51 × 291 × 1391 × 191 × 10611
LCM(20155,20159) = 406304645