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What is the Least Common Multiple of 11989 and 11996?

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 11989 and 11996 is 143820044.

LCM(11989,11996) = 143820044

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Least Common Multiple of 11989 and 11996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11989 and 11996, than apply into the LCM equation.

GCF(11989,11996) = 1
LCM(11989,11996) = ( 11989 × 11996) / 1
LCM(11989,11996) = 143820044 / 1
LCM(11989,11996) = 143820044

Least Common Multiple (LCM) of 11989 and 11996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11989 and 11996. First we will calculate the prime factors of 11989 and 11996.

Prime Factorization of 11989

Prime factors of 11989 are 19, 631. Prime factorization of 11989 in exponential form is:

11989 = 191 × 6311

Prime Factorization of 11996

Prime factors of 11996 are 2, 2999. Prime factorization of 11996 in exponential form is:

11996 = 22 × 29991

Now multiplying the highest exponent prime factors to calculate the LCM of 11989 and 11996.

LCM(11989,11996) = 191 × 6311 × 22 × 29991
LCM(11989,11996) = 143820044