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What is the Least Common Multiple of 65366 and 65384?

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 65366 and 65384 is 2136945272.

LCM(65366,65384) = 2136945272

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Least Common Multiple of 65366 and 65384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65366 and 65384, than apply into the LCM equation.

GCF(65366,65384) = 2
LCM(65366,65384) = ( 65366 × 65384) / 2
LCM(65366,65384) = 4273890544 / 2
LCM(65366,65384) = 2136945272

Least Common Multiple (LCM) of 65366 and 65384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65366 and 65384. First we will calculate the prime factors of 65366 and 65384.

Prime Factorization of 65366

Prime factors of 65366 are 2, 7, 23, 29. Prime factorization of 65366 in exponential form is:

65366 = 21 × 72 × 231 × 291

Prime Factorization of 65384

Prime factors of 65384 are 2, 11, 743. Prime factorization of 65384 in exponential form is:

65384 = 23 × 111 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 65366 and 65384.

LCM(65366,65384) = 23 × 72 × 231 × 291 × 111 × 7431
LCM(65366,65384) = 2136945272