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What is the Least Common Multiple of 23155 and 23159?

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 23155 and 23159 is 536246645.

LCM(23155,23159) = 536246645

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Least Common Multiple of 23155 and 23159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23155 and 23159, than apply into the LCM equation.

GCF(23155,23159) = 1
LCM(23155,23159) = ( 23155 × 23159) / 1
LCM(23155,23159) = 536246645 / 1
LCM(23155,23159) = 536246645

Least Common Multiple (LCM) of 23155 and 23159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23155 and 23159. First we will calculate the prime factors of 23155 and 23159.

Prime Factorization of 23155

Prime factors of 23155 are 5, 11, 421. Prime factorization of 23155 in exponential form is:

23155 = 51 × 111 × 4211

Prime Factorization of 23159

Prime factors of 23159 are 23159. Prime factorization of 23159 in exponential form is:

23159 = 231591

Now multiplying the highest exponent prime factors to calculate the LCM of 23155 and 23159.

LCM(23155,23159) = 51 × 111 × 4211 × 231591
LCM(23155,23159) = 536246645