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What is the Least Common Multiple of 34501 and 34514?

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 34501 and 34514 is 1190767514.

LCM(34501,34514) = 1190767514

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Least Common Multiple of 34501 and 34514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34501 and 34514, than apply into the LCM equation.

GCF(34501,34514) = 1
LCM(34501,34514) = ( 34501 × 34514) / 1
LCM(34501,34514) = 1190767514 / 1
LCM(34501,34514) = 1190767514

Least Common Multiple (LCM) of 34501 and 34514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34501 and 34514. First we will calculate the prime factors of 34501 and 34514.

Prime Factorization of 34501

Prime factors of 34501 are 34501. Prime factorization of 34501 in exponential form is:

34501 = 345011

Prime Factorization of 34514

Prime factors of 34514 are 2, 17257. Prime factorization of 34514 in exponential form is:

34514 = 21 × 172571

Now multiplying the highest exponent prime factors to calculate the LCM of 34501 and 34514.

LCM(34501,34514) = 345011 × 21 × 172571
LCM(34501,34514) = 1190767514