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What is the Least Common Multiple of 11973 and 11985?

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 11985 is 47832135.

LCM(11973,11985) = 47832135

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Least Common Multiple of 11973 and 11985 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 11985, than apply into the LCM equation.

GCF(11973,11985) = 3
LCM(11973,11985) = ( 11973 × 11985) / 3
LCM(11973,11985) = 143496405 / 3
LCM(11973,11985) = 47832135

Least Common Multiple (LCM) of 11973 and 11985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11973 and 11985. First we will calculate the prime factors of 11973 and 11985.

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 11985

Prime factors of 11985 are 3, 5, 17, 47. Prime factorization of 11985 in exponential form is:

11985 = 31 × 51 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 11973 and 11985.

LCM(11973,11985) = 31 × 131 × 3071 × 51 × 171 × 471
LCM(11973,11985) = 47832135