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What is the Least Common Multiple of 11984 and 11991?

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 11984 and 11991 is 20528592.

LCM(11984,11991) = 20528592

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Least Common Multiple of 11984 and 11991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11984 and 11991, than apply into the LCM equation.

GCF(11984,11991) = 7
LCM(11984,11991) = ( 11984 × 11991) / 7
LCM(11984,11991) = 143700144 / 7
LCM(11984,11991) = 20528592

Least Common Multiple (LCM) of 11984 and 11991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11984 and 11991. First we will calculate the prime factors of 11984 and 11991.

Prime Factorization of 11984

Prime factors of 11984 are 2, 7, 107. Prime factorization of 11984 in exponential form is:

11984 = 24 × 71 × 1071

Prime Factorization of 11991

Prime factors of 11991 are 3, 7, 571. Prime factorization of 11991 in exponential form is:

11991 = 31 × 71 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 11984 and 11991.

LCM(11984,11991) = 24 × 71 × 1071 × 31 × 5711
LCM(11984,11991) = 20528592