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What is the Least Common Multiple of 97685 and 97703?

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 97685 and 97703 is 9544117555.

LCM(97685,97703) = 9544117555

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Least Common Multiple of 97685 and 97703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97685 and 97703, than apply into the LCM equation.

GCF(97685,97703) = 1
LCM(97685,97703) = ( 97685 × 97703) / 1
LCM(97685,97703) = 9544117555 / 1
LCM(97685,97703) = 9544117555

Least Common Multiple (LCM) of 97685 and 97703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97685 and 97703. First we will calculate the prime factors of 97685 and 97703.

Prime Factorization of 97685

Prime factors of 97685 are 5, 7, 2791. Prime factorization of 97685 in exponential form is:

97685 = 51 × 71 × 27911

Prime Factorization of 97703

Prime factors of 97703 are 41, 2383. Prime factorization of 97703 in exponential form is:

97703 = 411 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 97685 and 97703.

LCM(97685,97703) = 51 × 71 × 27911 × 411 × 23831
LCM(97685,97703) = 9544117555