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What is the Least Common Multiple of 53543 and 53558?

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 53543 and 53558 is 2867655994.

LCM(53543,53558) = 2867655994

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Least Common Multiple of 53543 and 53558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53543 and 53558, than apply into the LCM equation.

GCF(53543,53558) = 1
LCM(53543,53558) = ( 53543 × 53558) / 1
LCM(53543,53558) = 2867655994 / 1
LCM(53543,53558) = 2867655994

Least Common Multiple (LCM) of 53543 and 53558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53543 and 53558. First we will calculate the prime factors of 53543 and 53558.

Prime Factorization of 53543

Prime factors of 53543 are 7, 7649. Prime factorization of 53543 in exponential form is:

53543 = 71 × 76491

Prime Factorization of 53558

Prime factors of 53558 are 2, 61, 439. Prime factorization of 53558 in exponential form is:

53558 = 21 × 611 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 53543 and 53558.

LCM(53543,53558) = 71 × 76491 × 21 × 611 × 4391
LCM(53543,53558) = 2867655994