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What is the Least Common Multiple of 9674 and 9682?

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 9674 and 9682 is 46831834.

LCM(9674,9682) = 46831834

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Least Common Multiple of 9674 and 9682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9674 and 9682, than apply into the LCM equation.

GCF(9674,9682) = 2
LCM(9674,9682) = ( 9674 × 9682) / 2
LCM(9674,9682) = 93663668 / 2
LCM(9674,9682) = 46831834

Least Common Multiple (LCM) of 9674 and 9682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9674 and 9682. First we will calculate the prime factors of 9674 and 9682.

Prime Factorization of 9674

Prime factors of 9674 are 2, 7, 691. Prime factorization of 9674 in exponential form is:

9674 = 21 × 71 × 6911

Prime Factorization of 9682

Prime factors of 9682 are 2, 47, 103. Prime factorization of 9682 in exponential form is:

9682 = 21 × 471 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9674 and 9682.

LCM(9674,9682) = 21 × 71 × 6911 × 471 × 1031
LCM(9674,9682) = 46831834