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What is the Least Common Multiple of 13890 and 13898?

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 13890 and 13898 is 96521610.

LCM(13890,13898) = 96521610

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Least Common Multiple of 13890 and 13898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13890 and 13898, than apply into the LCM equation.

GCF(13890,13898) = 2
LCM(13890,13898) = ( 13890 × 13898) / 2
LCM(13890,13898) = 193043220 / 2
LCM(13890,13898) = 96521610

Least Common Multiple (LCM) of 13890 and 13898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13890 and 13898. First we will calculate the prime factors of 13890 and 13898.

Prime Factorization of 13890

Prime factors of 13890 are 2, 3, 5, 463. Prime factorization of 13890 in exponential form is:

13890 = 21 × 31 × 51 × 4631

Prime Factorization of 13898

Prime factors of 13898 are 2, 6949. Prime factorization of 13898 in exponential form is:

13898 = 21 × 69491

Now multiplying the highest exponent prime factors to calculate the LCM of 13890 and 13898.

LCM(13890,13898) = 21 × 31 × 51 × 4631 × 69491
LCM(13890,13898) = 96521610