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What is the Least Common Multiple of 52422 and 52426?

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 52422 and 52426 is 1374137886.

LCM(52422,52426) = 1374137886

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Least Common Multiple of 52422 and 52426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52422 and 52426, than apply into the LCM equation.

GCF(52422,52426) = 2
LCM(52422,52426) = ( 52422 × 52426) / 2
LCM(52422,52426) = 2748275772 / 2
LCM(52422,52426) = 1374137886

Least Common Multiple (LCM) of 52422 and 52426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52422 and 52426. First we will calculate the prime factors of 52422 and 52426.

Prime Factorization of 52422

Prime factors of 52422 are 2, 3, 8737. Prime factorization of 52422 in exponential form is:

52422 = 21 × 31 × 87371

Prime Factorization of 52426

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

52426 = 21 × 111 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 52422 and 52426.

LCM(52422,52426) = 21 × 31 × 87371 × 111 × 23831
LCM(52422,52426) = 1374137886