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What is the Least Common Multiple of 65684 and 65698?

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 65684 and 65698 is 2157653716.

LCM(65684,65698) = 2157653716

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Least Common Multiple of 65684 and 65698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65684 and 65698, than apply into the LCM equation.

GCF(65684,65698) = 2
LCM(65684,65698) = ( 65684 × 65698) / 2
LCM(65684,65698) = 4315307432 / 2
LCM(65684,65698) = 2157653716

Least Common Multiple (LCM) of 65684 and 65698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65684 and 65698. First we will calculate the prime factors of 65684 and 65698.

Prime Factorization of 65684

Prime factors of 65684 are 2, 16421. Prime factorization of 65684 in exponential form is:

65684 = 22 × 164211

Prime Factorization of 65698

Prime factors of 65698 are 2, 107, 307. Prime factorization of 65698 in exponential form is:

65698 = 21 × 1071 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 65684 and 65698.

LCM(65684,65698) = 22 × 164211 × 1071 × 3071
LCM(65684,65698) = 2157653716