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What is the Least Common Multiple of 62414 and 62433?

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 62414 and 62433 is 3896693262.

LCM(62414,62433) = 3896693262

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Least Common Multiple of 62414 and 62433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62414 and 62433, than apply into the LCM equation.

GCF(62414,62433) = 1
LCM(62414,62433) = ( 62414 × 62433) / 1
LCM(62414,62433) = 3896693262 / 1
LCM(62414,62433) = 3896693262

Least Common Multiple (LCM) of 62414 and 62433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62414 and 62433. First we will calculate the prime factors of 62414 and 62433.

Prime Factorization of 62414

Prime factors of 62414 are 2, 11, 2837. Prime factorization of 62414 in exponential form is:

62414 = 21 × 111 × 28371

Prime Factorization of 62433

Prime factors of 62433 are 3, 7, 991. Prime factorization of 62433 in exponential form is:

62433 = 32 × 71 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 62414 and 62433.

LCM(62414,62433) = 21 × 111 × 28371 × 32 × 71 × 9911
LCM(62414,62433) = 3896693262