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What is the Least Common Multiple of 17605 and 17613?

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 17605 and 17613 is 310076865.

LCM(17605,17613) = 310076865

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Least Common Multiple of 17605 and 17613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17605 and 17613, than apply into the LCM equation.

GCF(17605,17613) = 1
LCM(17605,17613) = ( 17605 × 17613) / 1
LCM(17605,17613) = 310076865 / 1
LCM(17605,17613) = 310076865

Least Common Multiple (LCM) of 17605 and 17613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17605 and 17613. First we will calculate the prime factors of 17605 and 17613.

Prime Factorization of 17605

Prime factors of 17605 are 5, 7, 503. Prime factorization of 17605 in exponential form is:

17605 = 51 × 71 × 5031

Prime Factorization of 17613

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

17613 = 32 × 191 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 17605 and 17613.

LCM(17605,17613) = 51 × 71 × 5031 × 32 × 191 × 1031
LCM(17605,17613) = 310076865