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What is the Least Common Multiple of 1176 and 1188?

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 1176 and 1188 is 116424.

LCM(1176,1188) = 116424

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Least Common Multiple of 1176 and 1188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1176 and 1188, than apply into the LCM equation.

GCF(1176,1188) = 12
LCM(1176,1188) = ( 1176 × 1188) / 12
LCM(1176,1188) = 1397088 / 12
LCM(1176,1188) = 116424

Least Common Multiple (LCM) of 1176 and 1188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1176 and 1188. First we will calculate the prime factors of 1176 and 1188.

Prime Factorization of 1176

Prime factors of 1176 are 2, 3, 7. Prime factorization of 1176 in exponential form is:

1176 = 23 × 31 × 72

Prime Factorization of 1188

Prime factors of 1188 are 2, 3, 11. Prime factorization of 1188 in exponential form is:

1188 = 22 × 33 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1176 and 1188.

LCM(1176,1188) = 23 × 33 × 72 × 111
LCM(1176,1188) = 116424