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What is the Least Common Multiple of 75317 and 75334?

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 75317 and 75334 is 5673930878.

LCM(75317,75334) = 5673930878

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Least Common Multiple of 75317 and 75334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75317 and 75334, than apply into the LCM equation.

GCF(75317,75334) = 1
LCM(75317,75334) = ( 75317 × 75334) / 1
LCM(75317,75334) = 5673930878 / 1
LCM(75317,75334) = 5673930878

Least Common Multiple (LCM) of 75317 and 75334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75317 and 75334. First we will calculate the prime factors of 75317 and 75334.

Prime Factorization of 75317

Prime factors of 75317 are 11, 41, 167. Prime factorization of 75317 in exponential form is:

75317 = 111 × 411 × 1671

Prime Factorization of 75334

Prime factors of 75334 are 2, 7, 5381. Prime factorization of 75334 in exponential form is:

75334 = 21 × 71 × 53811

Now multiplying the highest exponent prime factors to calculate the LCM of 75317 and 75334.

LCM(75317,75334) = 111 × 411 × 1671 × 21 × 71 × 53811
LCM(75317,75334) = 5673930878