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What is the Least Common Multiple of 1191 and 1200?

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 1191 and 1200 is 476400.

LCM(1191,1200) = 476400

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Least Common Multiple of 1191 and 1200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1191 and 1200, than apply into the LCM equation.

GCF(1191,1200) = 3
LCM(1191,1200) = ( 1191 × 1200) / 3
LCM(1191,1200) = 1429200 / 3
LCM(1191,1200) = 476400

Least Common Multiple (LCM) of 1191 and 1200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1191 and 1200. First we will calculate the prime factors of 1191 and 1200.

Prime Factorization of 1191

Prime factors of 1191 are 3, 397. Prime factorization of 1191 in exponential form is:

1191 = 31 × 3971

Prime Factorization of 1200

Prime factors of 1200 are 2, 3, 5. Prime factorization of 1200 in exponential form is:

1200 = 24 × 31 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 1191 and 1200.

LCM(1191,1200) = 31 × 3971 × 24 × 52
LCM(1191,1200) = 476400