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What is the Least Common Multiple of 68543 and 68547?

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 68543 and 68547 is 4698417021.

LCM(68543,68547) = 4698417021

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Least Common Multiple of 68543 and 68547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68543 and 68547, than apply into the LCM equation.

GCF(68543,68547) = 1
LCM(68543,68547) = ( 68543 × 68547) / 1
LCM(68543,68547) = 4698417021 / 1
LCM(68543,68547) = 4698417021

Least Common Multiple (LCM) of 68543 and 68547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68543 and 68547. First we will calculate the prime factors of 68543 and 68547.

Prime Factorization of 68543

Prime factors of 68543 are 68543. Prime factorization of 68543 in exponential form is:

68543 = 685431

Prime Factorization of 68547

Prime factors of 68547 are 3, 73, 313. Prime factorization of 68547 in exponential form is:

68547 = 31 × 731 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 68543 and 68547.

LCM(68543,68547) = 685431 × 31 × 731 × 3131
LCM(68543,68547) = 4698417021