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What is the Least Common Multiple of 8420 and 8431?

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 8420 and 8431 is 70989020.

LCM(8420,8431) = 70989020

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Least Common Multiple of 8420 and 8431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8420 and 8431, than apply into the LCM equation.

GCF(8420,8431) = 1
LCM(8420,8431) = ( 8420 × 8431) / 1
LCM(8420,8431) = 70989020 / 1
LCM(8420,8431) = 70989020

Least Common Multiple (LCM) of 8420 and 8431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8420 and 8431. First we will calculate the prime factors of 8420 and 8431.

Prime Factorization of 8420

Prime factors of 8420 are 2, 5, 421. Prime factorization of 8420 in exponential form is:

8420 = 22 × 51 × 4211

Prime Factorization of 8431

Prime factors of 8431 are 8431. Prime factorization of 8431 in exponential form is:

8431 = 84311

Now multiplying the highest exponent prime factors to calculate the LCM of 8420 and 8431.

LCM(8420,8431) = 22 × 51 × 4211 × 84311
LCM(8420,8431) = 70989020