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What is the Least Common Multiple of 17608 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 17608 and 17613 is 310129704.

LCM(17608,17613) = 310129704

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Least Common Multiple of 17608 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 17608 and 17613, than apply into the LCM equation.

GCF(17608,17613) = 1
LCM(17608,17613) = ( 17608 × 17613) / 1
LCM(17608,17613) = 310129704 / 1
LCM(17608,17613) = 310129704

Least Common Multiple (LCM) of 17608 and 17613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17608 and 17613. First we will calculate the prime factors of 17608 and 17613.

Prime Factorization of 17608

Prime factors of 17608 are 2, 31, 71. Prime factorization of 17608 in exponential form is:

17608 = 23 × 311 × 711

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 17608 and 17613.

LCM(17608,17613) = 23 × 311 × 711 × 32 × 191 × 1031
LCM(17608,17613) = 310129704