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What is the Least Common Multiple of 17702 and 17715?

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 17702 and 17715 is 313590930.

LCM(17702,17715) = 313590930

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Least Common Multiple of 17702 and 17715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17702 and 17715, than apply into the LCM equation.

GCF(17702,17715) = 1
LCM(17702,17715) = ( 17702 × 17715) / 1
LCM(17702,17715) = 313590930 / 1
LCM(17702,17715) = 313590930

Least Common Multiple (LCM) of 17702 and 17715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17702 and 17715. First we will calculate the prime factors of 17702 and 17715.

Prime Factorization of 17702

Prime factors of 17702 are 2, 53, 167. Prime factorization of 17702 in exponential form is:

17702 = 21 × 531 × 1671

Prime Factorization of 17715

Prime factors of 17715 are 3, 5, 1181. Prime factorization of 17715 in exponential form is:

17715 = 31 × 51 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 17702 and 17715.

LCM(17702,17715) = 21 × 531 × 1671 × 31 × 51 × 11811
LCM(17702,17715) = 313590930