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What is the Least Common Multiple of 13390 and 13404?

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 13390 and 13404 is 89739780.

LCM(13390,13404) = 89739780

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Least Common Multiple of 13390 and 13404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13390 and 13404, than apply into the LCM equation.

GCF(13390,13404) = 2
LCM(13390,13404) = ( 13390 × 13404) / 2
LCM(13390,13404) = 179479560 / 2
LCM(13390,13404) = 89739780

Least Common Multiple (LCM) of 13390 and 13404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13390 and 13404. First we will calculate the prime factors of 13390 and 13404.

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

Prime Factorization of 13404

Prime factors of 13404 are 2, 3, 1117. Prime factorization of 13404 in exponential form is:

13404 = 22 × 31 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 13390 and 13404.

LCM(13390,13404) = 22 × 51 × 131 × 1031 × 31 × 11171
LCM(13390,13404) = 89739780