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What is the Least Common Multiple of 13068 and 13085?

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 13068 and 13085 is 170994780.

LCM(13068,13085) = 170994780

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Least Common Multiple of 13068 and 13085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13068 and 13085, than apply into the LCM equation.

GCF(13068,13085) = 1
LCM(13068,13085) = ( 13068 × 13085) / 1
LCM(13068,13085) = 170994780 / 1
LCM(13068,13085) = 170994780

Least Common Multiple (LCM) of 13068 and 13085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13068 and 13085. First we will calculate the prime factors of 13068 and 13085.

Prime Factorization of 13068

Prime factors of 13068 are 2, 3, 11. Prime factorization of 13068 in exponential form is:

13068 = 22 × 33 × 112

Prime Factorization of 13085

Prime factors of 13085 are 5, 2617. Prime factorization of 13085 in exponential form is:

13085 = 51 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 13068 and 13085.

LCM(13068,13085) = 22 × 33 × 112 × 51 × 26171
LCM(13068,13085) = 170994780