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What is the Least Common Multiple of 17697 and 17713?

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 17697 and 17713 is 313466961.

LCM(17697,17713) = 313466961

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Least Common Multiple of 17697 and 17713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17697 and 17713, than apply into the LCM equation.

GCF(17697,17713) = 1
LCM(17697,17713) = ( 17697 × 17713) / 1
LCM(17697,17713) = 313466961 / 1
LCM(17697,17713) = 313466961

Least Common Multiple (LCM) of 17697 and 17713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17697 and 17713. First we will calculate the prime factors of 17697 and 17713.

Prime Factorization of 17697

Prime factors of 17697 are 3, 17, 347. Prime factorization of 17697 in exponential form is:

17697 = 31 × 171 × 3471

Prime Factorization of 17713

Prime factors of 17713 are 17713. Prime factorization of 17713 in exponential form is:

17713 = 177131

Now multiplying the highest exponent prime factors to calculate the LCM of 17697 and 17713.

LCM(17697,17713) = 31 × 171 × 3471 × 177131
LCM(17697,17713) = 313466961