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What is the Least Common Multiple of 68294 and 68299?

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 68294 and 68299 is 4664411906.

LCM(68294,68299) = 4664411906

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Least Common Multiple of 68294 and 68299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68294 and 68299, than apply into the LCM equation.

GCF(68294,68299) = 1
LCM(68294,68299) = ( 68294 × 68299) / 1
LCM(68294,68299) = 4664411906 / 1
LCM(68294,68299) = 4664411906

Least Common Multiple (LCM) of 68294 and 68299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68294 and 68299. First we will calculate the prime factors of 68294 and 68299.

Prime Factorization of 68294

Prime factors of 68294 are 2, 34147. Prime factorization of 68294 in exponential form is:

68294 = 21 × 341471

Prime Factorization of 68299

Prime factors of 68299 are 7, 11, 887. Prime factorization of 68299 in exponential form is:

68299 = 71 × 111 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 68294 and 68299.

LCM(68294,68299) = 21 × 341471 × 71 × 111 × 8871
LCM(68294,68299) = 4664411906