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What is the Least Common Multiple of 32411 and 32426?

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 32411 and 32426 is 1050959086.

LCM(32411,32426) = 1050959086

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Least Common Multiple of 32411 and 32426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32411 and 32426, than apply into the LCM equation.

GCF(32411,32426) = 1
LCM(32411,32426) = ( 32411 × 32426) / 1
LCM(32411,32426) = 1050959086 / 1
LCM(32411,32426) = 1050959086

Least Common Multiple (LCM) of 32411 and 32426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32411 and 32426. First we will calculate the prime factors of 32411 and 32426.

Prime Factorization of 32411

Prime factors of 32411 are 32411. Prime factorization of 32411 in exponential form is:

32411 = 324111

Prime Factorization of 32426

Prime factors of 32426 are 2, 31, 523. Prime factorization of 32426 in exponential form is:

32426 = 21 × 311 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 32411 and 32426.

LCM(32411,32426) = 324111 × 21 × 311 × 5231
LCM(32411,32426) = 1050959086