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What is the Least Common Multiple of 33155 and 33159?

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 33155 and 33159 is 1099386645.

LCM(33155,33159) = 1099386645

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Least Common Multiple of 33155 and 33159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33155 and 33159, than apply into the LCM equation.

GCF(33155,33159) = 1
LCM(33155,33159) = ( 33155 × 33159) / 1
LCM(33155,33159) = 1099386645 / 1
LCM(33155,33159) = 1099386645

Least Common Multiple (LCM) of 33155 and 33159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33155 and 33159. First we will calculate the prime factors of 33155 and 33159.

Prime Factorization of 33155

Prime factors of 33155 are 5, 19, 349. Prime factorization of 33155 in exponential form is:

33155 = 51 × 191 × 3491

Prime Factorization of 33159

Prime factors of 33159 are 3, 7, 1579. Prime factorization of 33159 in exponential form is:

33159 = 31 × 71 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 33155 and 33159.

LCM(33155,33159) = 51 × 191 × 3491 × 31 × 71 × 15791
LCM(33155,33159) = 1099386645