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What is the Least Common Multiple of 62432 and 62443?

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 62432 and 62443 is 3898441376.

LCM(62432,62443) = 3898441376

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Least Common Multiple of 62432 and 62443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62432 and 62443, than apply into the LCM equation.

GCF(62432,62443) = 1
LCM(62432,62443) = ( 62432 × 62443) / 1
LCM(62432,62443) = 3898441376 / 1
LCM(62432,62443) = 3898441376

Least Common Multiple (LCM) of 62432 and 62443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62432 and 62443. First we will calculate the prime factors of 62432 and 62443.

Prime Factorization of 62432

Prime factors of 62432 are 2, 1951. Prime factorization of 62432 in exponential form is:

62432 = 25 × 19511

Prime Factorization of 62443

Prime factors of 62443 are 41, 1523. Prime factorization of 62443 in exponential form is:

62443 = 411 × 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 62432 and 62443.

LCM(62432,62443) = 25 × 19511 × 411 × 15231
LCM(62432,62443) = 3898441376