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What is the Least Common Multiple of 53353 and 53362?

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 53362 is 2847022786.

LCM(53353,53362) = 2847022786

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Least Common Multiple of 53353 and 53362 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 53362, than apply into the LCM equation.

GCF(53353,53362) = 1
LCM(53353,53362) = ( 53353 × 53362) / 1
LCM(53353,53362) = 2847022786 / 1
LCM(53353,53362) = 2847022786

Least Common Multiple (LCM) of 53353 and 53362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53353 and 53362. First we will calculate the prime factors of 53353 and 53362.

Prime Factorization of 53353

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

53353 = 533531

Prime Factorization of 53362

Prime factors of 53362 are 2, 26681. Prime factorization of 53362 in exponential form is:

53362 = 21 × 266811

Now multiplying the highest exponent prime factors to calculate the LCM of 53353 and 53362.

LCM(53353,53362) = 533531 × 21 × 266811
LCM(53353,53362) = 2847022786