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What is the Least Common Multiple of 68423 and 68438?

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 68423 and 68438 is 4682733274.

LCM(68423,68438) = 4682733274

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Least Common Multiple of 68423 and 68438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68423 and 68438, than apply into the LCM equation.

GCF(68423,68438) = 1
LCM(68423,68438) = ( 68423 × 68438) / 1
LCM(68423,68438) = 4682733274 / 1
LCM(68423,68438) = 4682733274

Least Common Multiple (LCM) of 68423 and 68438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68423 and 68438. First we will calculate the prime factors of 68423 and 68438.

Prime Factorization of 68423

Prime factors of 68423 are 53, 1291. Prime factorization of 68423 in exponential form is:

68423 = 531 × 12911

Prime Factorization of 68438

Prime factors of 68438 are 2, 19, 1801. Prime factorization of 68438 in exponential form is:

68438 = 21 × 191 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 68423 and 68438.

LCM(68423,68438) = 531 × 12911 × 21 × 191 × 18011
LCM(68423,68438) = 4682733274