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What is the Least Common Multiple of 13989 and 13993?

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 13989 and 13993 is 195748077.

LCM(13989,13993) = 195748077

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Least Common Multiple of 13989 and 13993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13989 and 13993, than apply into the LCM equation.

GCF(13989,13993) = 1
LCM(13989,13993) = ( 13989 × 13993) / 1
LCM(13989,13993) = 195748077 / 1
LCM(13989,13993) = 195748077

Least Common Multiple (LCM) of 13989 and 13993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13989 and 13993. First we will calculate the prime factors of 13989 and 13993.

Prime Factorization of 13989

Prime factors of 13989 are 3, 4663. Prime factorization of 13989 in exponential form is:

13989 = 31 × 46631

Prime Factorization of 13993

Prime factors of 13993 are 7, 1999. Prime factorization of 13993 in exponential form is:

13993 = 71 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 13989 and 13993.

LCM(13989,13993) = 31 × 46631 × 71 × 19991
LCM(13989,13993) = 195748077