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What is the Least Common Multiple of 17133 and 17153?

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 17133 and 17153 is 293882349.

LCM(17133,17153) = 293882349

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Least Common Multiple of 17133 and 17153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17133 and 17153, than apply into the LCM equation.

GCF(17133,17153) = 1
LCM(17133,17153) = ( 17133 × 17153) / 1
LCM(17133,17153) = 293882349 / 1
LCM(17133,17153) = 293882349

Least Common Multiple (LCM) of 17133 and 17153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17133 and 17153. First we will calculate the prime factors of 17133 and 17153.

Prime Factorization of 17133

Prime factors of 17133 are 3, 5711. Prime factorization of 17133 in exponential form is:

17133 = 31 × 57111

Prime Factorization of 17153

Prime factors of 17153 are 17, 1009. Prime factorization of 17153 in exponential form is:

17153 = 171 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 17133 and 17153.

LCM(17133,17153) = 31 × 57111 × 171 × 10091
LCM(17133,17153) = 293882349