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What is the Least Common Multiple of 14153 and 14162?

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 14153 and 14162 is 200434786.

LCM(14153,14162) = 200434786

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Least Common Multiple of 14153 and 14162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14153 and 14162, than apply into the LCM equation.

GCF(14153,14162) = 1
LCM(14153,14162) = ( 14153 × 14162) / 1
LCM(14153,14162) = 200434786 / 1
LCM(14153,14162) = 200434786

Least Common Multiple (LCM) of 14153 and 14162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14153 and 14162. First we will calculate the prime factors of 14153 and 14162.

Prime Factorization of 14153

Prime factors of 14153 are 14153. Prime factorization of 14153 in exponential form is:

14153 = 141531

Prime Factorization of 14162

Prime factors of 14162 are 2, 73, 97. Prime factorization of 14162 in exponential form is:

14162 = 21 × 731 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 14153 and 14162.

LCM(14153,14162) = 141531 × 21 × 731 × 971
LCM(14153,14162) = 200434786