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What is the Least Common Multiple of 53482 and 53491?

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 53482 and 53491 is 2860805662.

LCM(53482,53491) = 2860805662

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Least Common Multiple of 53482 and 53491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53482 and 53491, than apply into the LCM equation.

GCF(53482,53491) = 1
LCM(53482,53491) = ( 53482 × 53491) / 1
LCM(53482,53491) = 2860805662 / 1
LCM(53482,53491) = 2860805662

Least Common Multiple (LCM) of 53482 and 53491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53482 and 53491. First we will calculate the prime factors of 53482 and 53491.

Prime Factorization of 53482

Prime factors of 53482 are 2, 11, 13, 17. Prime factorization of 53482 in exponential form is:

53482 = 21 × 112 × 131 × 171

Prime Factorization of 53491

Prime factors of 53491 are 149, 359. Prime factorization of 53491 in exponential form is:

53491 = 1491 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 53482 and 53491.

LCM(53482,53491) = 21 × 112 × 131 × 171 × 1491 × 3591
LCM(53482,53491) = 2860805662