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What is the Least Common Multiple of 8429 and 8437?

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 8429 and 8437 is 71115473.

LCM(8429,8437) = 71115473

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Least Common Multiple of 8429 and 8437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8429 and 8437, than apply into the LCM equation.

GCF(8429,8437) = 1
LCM(8429,8437) = ( 8429 × 8437) / 1
LCM(8429,8437) = 71115473 / 1
LCM(8429,8437) = 71115473

Least Common Multiple (LCM) of 8429 and 8437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8429 and 8437. First we will calculate the prime factors of 8429 and 8437.

Prime Factorization of 8429

Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:

8429 = 84291

Prime Factorization of 8437

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

8437 = 111 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 8429 and 8437.

LCM(8429,8437) = 84291 × 111 × 131 × 591
LCM(8429,8437) = 71115473