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What is the Least Common Multiple of 8437 and 8456?

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 8456 is 71343272.

LCM(8437,8456) = 71343272

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Least Common Multiple of 8437 and 8456 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 8456, than apply into the LCM equation.

GCF(8437,8456) = 1
LCM(8437,8456) = ( 8437 × 8456) / 1
LCM(8437,8456) = 71343272 / 1
LCM(8437,8456) = 71343272

Least Common Multiple (LCM) of 8437 and 8456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8437 and 8456. First we will calculate the prime factors of 8437 and 8456.

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 8456

Prime factors of 8456 are 2, 7, 151. Prime factorization of 8456 in exponential form is:

8456 = 23 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8437 and 8456.

LCM(8437,8456) = 111 × 131 × 591 × 23 × 71 × 1511
LCM(8437,8456) = 71343272