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What is the Least Common Multiple of 8437 and 8443?

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 8437 and 8443 is 71233591.

LCM(8437,8443) = 71233591

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Least Common Multiple of 8437 and 8443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8437 and 8443, than apply into the LCM equation.

GCF(8437,8443) = 1
LCM(8437,8443) = ( 8437 × 8443) / 1
LCM(8437,8443) = 71233591 / 1
LCM(8437,8443) = 71233591

Least Common Multiple (LCM) of 8437 and 8443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8437 and 8443. First we will calculate the prime factors of 8437 and 8443.

Prime Factorization of 8437

Prime factors of 8437 are 11, 13, 59. Prime factorization of 8437 in exponential form is:

8437 = 111 × 131 × 591

Prime Factorization of 8443

Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:

8443 = 84431

Now multiplying the highest exponent prime factors to calculate the LCM of 8437 and 8443.

LCM(8437,8443) = 111 × 131 × 591 × 84431
LCM(8437,8443) = 71233591