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What is the Least Common Multiple of 52426 and 52431?

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 52426 and 52431 is 2748747606.

LCM(52426,52431) = 2748747606

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Least Common Multiple of 52426 and 52431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52426 and 52431, than apply into the LCM equation.

GCF(52426,52431) = 1
LCM(52426,52431) = ( 52426 × 52431) / 1
LCM(52426,52431) = 2748747606 / 1
LCM(52426,52431) = 2748747606

Least Common Multiple (LCM) of 52426 and 52431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52426 and 52431. First we will calculate the prime factors of 52426 and 52431.

Prime Factorization of 52426

Prime factors of 52426 are 2, 11, 2383. Prime factorization of 52426 in exponential form is:

52426 = 21 × 111 × 23831

Prime Factorization of 52431

Prime factors of 52431 are 3, 17477. Prime factorization of 52431 in exponential form is:

52431 = 31 × 174771

Now multiplying the highest exponent prime factors to calculate the LCM of 52426 and 52431.

LCM(52426,52431) = 21 × 111 × 23831 × 31 × 174771
LCM(52426,52431) = 2748747606