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What is the Least Common Multiple of 11973 and 11987?

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 11973 and 11987 is 143520351.

LCM(11973,11987) = 143520351

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Least Common Multiple of 11973 and 11987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11973 and 11987, than apply into the LCM equation.

GCF(11973,11987) = 1
LCM(11973,11987) = ( 11973 × 11987) / 1
LCM(11973,11987) = 143520351 / 1
LCM(11973,11987) = 143520351

Least Common Multiple (LCM) of 11973 and 11987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11973 and 11987. First we will calculate the prime factors of 11973 and 11987.

Prime Factorization of 11973

Prime factors of 11973 are 3, 13, 307. Prime factorization of 11973 in exponential form is:

11973 = 31 × 131 × 3071

Prime Factorization of 11987

Prime factors of 11987 are 11987. Prime factorization of 11987 in exponential form is:

11987 = 119871

Now multiplying the highest exponent prime factors to calculate the LCM of 11973 and 11987.

LCM(11973,11987) = 31 × 131 × 3071 × 119871
LCM(11973,11987) = 143520351