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What is the Least Common Multiple of 17657 and 17661?

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 17657 and 17661 is 311840277.

LCM(17657,17661) = 311840277

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Least Common Multiple of 17657 and 17661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17657 and 17661, than apply into the LCM equation.

GCF(17657,17661) = 1
LCM(17657,17661) = ( 17657 × 17661) / 1
LCM(17657,17661) = 311840277 / 1
LCM(17657,17661) = 311840277

Least Common Multiple (LCM) of 17657 and 17661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17657 and 17661. First we will calculate the prime factors of 17657 and 17661.

Prime Factorization of 17657

Prime factors of 17657 are 17657. Prime factorization of 17657 in exponential form is:

17657 = 176571

Prime Factorization of 17661

Prime factors of 17661 are 3, 7, 29. Prime factorization of 17661 in exponential form is:

17661 = 31 × 71 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 17657 and 17661.

LCM(17657,17661) = 176571 × 31 × 71 × 292
LCM(17657,17661) = 311840277