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What is the Least Common Multiple of 11975 and 11984?

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 11975 and 11984 is 143508400.

LCM(11975,11984) = 143508400

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Least Common Multiple of 11975 and 11984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11975 and 11984, than apply into the LCM equation.

GCF(11975,11984) = 1
LCM(11975,11984) = ( 11975 × 11984) / 1
LCM(11975,11984) = 143508400 / 1
LCM(11975,11984) = 143508400

Least Common Multiple (LCM) of 11975 and 11984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11975 and 11984. First we will calculate the prime factors of 11975 and 11984.

Prime Factorization of 11975

Prime factors of 11975 are 5, 479. Prime factorization of 11975 in exponential form is:

11975 = 52 × 4791

Prime Factorization of 11984

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

11984 = 24 × 71 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 11975 and 11984.

LCM(11975,11984) = 52 × 4791 × 24 × 71 × 1071
LCM(11975,11984) = 143508400