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What is the Least Common Multiple of 14195 and 14206?

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 14195 and 14206 is 201654170.

LCM(14195,14206) = 201654170

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Least Common Multiple of 14195 and 14206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14195 and 14206, than apply into the LCM equation.

GCF(14195,14206) = 1
LCM(14195,14206) = ( 14195 × 14206) / 1
LCM(14195,14206) = 201654170 / 1
LCM(14195,14206) = 201654170

Least Common Multiple (LCM) of 14195 and 14206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14195 and 14206. First we will calculate the prime factors of 14195 and 14206.

Prime Factorization of 14195

Prime factors of 14195 are 5, 17, 167. Prime factorization of 14195 in exponential form is:

14195 = 51 × 171 × 1671

Prime Factorization of 14206

Prime factors of 14206 are 2, 7103. Prime factorization of 14206 in exponential form is:

14206 = 21 × 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 14195 and 14206.

LCM(14195,14206) = 51 × 171 × 1671 × 21 × 71031
LCM(14195,14206) = 201654170