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What is the Least Common Multiple of 13386 and 13390?

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 13386 and 13390 is 89619270.

LCM(13386,13390) = 89619270

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Least Common Multiple of 13386 and 13390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13386 and 13390, than apply into the LCM equation.

GCF(13386,13390) = 2
LCM(13386,13390) = ( 13386 × 13390) / 2
LCM(13386,13390) = 179238540 / 2
LCM(13386,13390) = 89619270

Least Common Multiple (LCM) of 13386 and 13390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13386 and 13390. First we will calculate the prime factors of 13386 and 13390.

Prime Factorization of 13386

Prime factors of 13386 are 2, 3, 23, 97. Prime factorization of 13386 in exponential form is:

13386 = 21 × 31 × 231 × 971

Prime Factorization of 13390

Prime factors of 13390 are 2, 5, 13, 103. Prime factorization of 13390 in exponential form is:

13390 = 21 × 51 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 13386 and 13390.

LCM(13386,13390) = 21 × 31 × 231 × 971 × 51 × 131 × 1031
LCM(13386,13390) = 89619270