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What is the Least Common Multiple of 53353 and 53366?

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 53353 and 53366 is 2847236198.

LCM(53353,53366) = 2847236198

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Least Common Multiple of 53353 and 53366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53353 and 53366, than apply into the LCM equation.

GCF(53353,53366) = 1
LCM(53353,53366) = ( 53353 × 53366) / 1
LCM(53353,53366) = 2847236198 / 1
LCM(53353,53366) = 2847236198

Least Common Multiple (LCM) of 53353 and 53366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53353 and 53366. First we will calculate the prime factors of 53353 and 53366.

Prime Factorization of 53353

Prime factors of 53353 are 53353. Prime factorization of 53353 in exponential form is:

53353 = 533531

Prime Factorization of 53366

Prime factors of 53366 are 2, 26683. Prime factorization of 53366 in exponential form is:

53366 = 21 × 266831

Now multiplying the highest exponent prime factors to calculate the LCM of 53353 and 53366.

LCM(53353,53366) = 533531 × 21 × 266831
LCM(53353,53366) = 2847236198