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What is the Least Common Multiple of 17613 and 17633?

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 17613 and 17633 is 310570029.

LCM(17613,17633) = 310570029

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Least Common Multiple of 17613 and 17633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17613 and 17633, than apply into the LCM equation.

GCF(17613,17633) = 1
LCM(17613,17633) = ( 17613 × 17633) / 1
LCM(17613,17633) = 310570029 / 1
LCM(17613,17633) = 310570029

Least Common Multiple (LCM) of 17613 and 17633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17613 and 17633. First we will calculate the prime factors of 17613 and 17633.

Prime Factorization of 17613

Prime factors of 17613 are 3, 19, 103. Prime factorization of 17613 in exponential form is:

17613 = 32 × 191 × 1031

Prime Factorization of 17633

Prime factors of 17633 are 7, 11, 229. Prime factorization of 17633 in exponential form is:

17633 = 71 × 111 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 17613 and 17633.

LCM(17613,17633) = 32 × 191 × 1031 × 71 × 111 × 2291
LCM(17613,17633) = 310570029