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What is the Least Common Multiple of 10606 and 10617?

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 10606 and 10617 is 112603902.

LCM(10606,10617) = 112603902

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Least Common Multiple of 10606 and 10617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10606 and 10617, than apply into the LCM equation.

GCF(10606,10617) = 1
LCM(10606,10617) = ( 10606 × 10617) / 1
LCM(10606,10617) = 112603902 / 1
LCM(10606,10617) = 112603902

Least Common Multiple (LCM) of 10606 and 10617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10606 and 10617. First we will calculate the prime factors of 10606 and 10617.

Prime Factorization of 10606

Prime factors of 10606 are 2, 5303. Prime factorization of 10606 in exponential form is:

10606 = 21 × 53031

Prime Factorization of 10617

Prime factors of 10617 are 3, 3539. Prime factorization of 10617 in exponential form is:

10617 = 31 × 35391

Now multiplying the highest exponent prime factors to calculate the LCM of 10606 and 10617.

LCM(10606,10617) = 21 × 53031 × 31 × 35391
LCM(10606,10617) = 112603902