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What is the Least Common Multiple of 34063 and 34074?

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 34063 and 34074 is 1160662662.

LCM(34063,34074) = 1160662662

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Least Common Multiple of 34063 and 34074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34063 and 34074, than apply into the LCM equation.

GCF(34063,34074) = 1
LCM(34063,34074) = ( 34063 × 34074) / 1
LCM(34063,34074) = 1160662662 / 1
LCM(34063,34074) = 1160662662

Least Common Multiple (LCM) of 34063 and 34074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34063 and 34074. First we will calculate the prime factors of 34063 and 34074.

Prime Factorization of 34063

Prime factors of 34063 are 23, 1481. Prime factorization of 34063 in exponential form is:

34063 = 231 × 14811

Prime Factorization of 34074

Prime factors of 34074 are 2, 3, 631. Prime factorization of 34074 in exponential form is:

34074 = 21 × 33 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 34063 and 34074.

LCM(34063,34074) = 231 × 14811 × 21 × 33 × 6311
LCM(34063,34074) = 1160662662