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What is the Least Common Multiple of 80443 and 80453?

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 80443 and 80453 is 6471880679.

LCM(80443,80453) = 6471880679

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Least Common Multiple of 80443 and 80453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80443 and 80453, than apply into the LCM equation.

GCF(80443,80453) = 1
LCM(80443,80453) = ( 80443 × 80453) / 1
LCM(80443,80453) = 6471880679 / 1
LCM(80443,80453) = 6471880679

Least Common Multiple (LCM) of 80443 and 80453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80443 and 80453. First we will calculate the prime factors of 80443 and 80453.

Prime Factorization of 80443

Prime factors of 80443 are 11, 71, 103. Prime factorization of 80443 in exponential form is:

80443 = 111 × 711 × 1031

Prime Factorization of 80453

Prime factors of 80453 are 43, 1871. Prime factorization of 80453 in exponential form is:

80453 = 431 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 80443 and 80453.

LCM(80443,80453) = 111 × 711 × 1031 × 431 × 18711
LCM(80443,80453) = 6471880679