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What is the Least Common Multiple of 16180 and 16193?

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 16180 and 16193 is 262002740.

LCM(16180,16193) = 262002740

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Least Common Multiple of 16180 and 16193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16180 and 16193, than apply into the LCM equation.

GCF(16180,16193) = 1
LCM(16180,16193) = ( 16180 × 16193) / 1
LCM(16180,16193) = 262002740 / 1
LCM(16180,16193) = 262002740

Least Common Multiple (LCM) of 16180 and 16193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16180 and 16193. First we will calculate the prime factors of 16180 and 16193.

Prime Factorization of 16180

Prime factors of 16180 are 2, 5, 809. Prime factorization of 16180 in exponential form is:

16180 = 22 × 51 × 8091

Prime Factorization of 16193

Prime factors of 16193 are 16193. Prime factorization of 16193 in exponential form is:

16193 = 161931

Now multiplying the highest exponent prime factors to calculate the LCM of 16180 and 16193.

LCM(16180,16193) = 22 × 51 × 8091 × 161931
LCM(16180,16193) = 262002740