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What is the Least Common Multiple of 84543 and 84551?

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 84543 and 84551 is 7148195193.

LCM(84543,84551) = 7148195193

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Least Common Multiple of 84543 and 84551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84543 and 84551, than apply into the LCM equation.

GCF(84543,84551) = 1
LCM(84543,84551) = ( 84543 × 84551) / 1
LCM(84543,84551) = 7148195193 / 1
LCM(84543,84551) = 7148195193

Least Common Multiple (LCM) of 84543 and 84551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84543 and 84551. First we will calculate the prime factors of 84543 and 84551.

Prime Factorization of 84543

Prime factors of 84543 are 3, 28181. Prime factorization of 84543 in exponential form is:

84543 = 31 × 281811

Prime Factorization of 84551

Prime factors of 84551 are 84551. Prime factorization of 84551 in exponential form is:

84551 = 845511

Now multiplying the highest exponent prime factors to calculate the LCM of 84543 and 84551.

LCM(84543,84551) = 31 × 281811 × 845511
LCM(84543,84551) = 7148195193