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What is the Least Common Multiple of 34273 and 34285?

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 34273 and 34285 is 1175049805.

LCM(34273,34285) = 1175049805

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Least Common Multiple of 34273 and 34285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34273 and 34285, than apply into the LCM equation.

GCF(34273,34285) = 1
LCM(34273,34285) = ( 34273 × 34285) / 1
LCM(34273,34285) = 1175049805 / 1
LCM(34273,34285) = 1175049805

Least Common Multiple (LCM) of 34273 and 34285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34273 and 34285. First we will calculate the prime factors of 34273 and 34285.

Prime Factorization of 34273

Prime factors of 34273 are 34273. Prime factorization of 34273 in exponential form is:

34273 = 342731

Prime Factorization of 34285

Prime factors of 34285 are 5, 6857. Prime factorization of 34285 in exponential form is:

34285 = 51 × 68571

Now multiplying the highest exponent prime factors to calculate the LCM of 34273 and 34285.

LCM(34273,34285) = 342731 × 51 × 68571
LCM(34273,34285) = 1175049805