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What is the Least Common Multiple of 1192 and 1198?

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 1192 and 1198 is 714008.

LCM(1192,1198) = 714008

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Least Common Multiple of 1192 and 1198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1192 and 1198, than apply into the LCM equation.

GCF(1192,1198) = 2
LCM(1192,1198) = ( 1192 × 1198) / 2
LCM(1192,1198) = 1428016 / 2
LCM(1192,1198) = 714008

Least Common Multiple (LCM) of 1192 and 1198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1192 and 1198. First we will calculate the prime factors of 1192 and 1198.

Prime Factorization of 1192

Prime factors of 1192 are 2, 149. Prime factorization of 1192 in exponential form is:

1192 = 23 × 1491

Prime Factorization of 1198

Prime factors of 1198 are 2, 599. Prime factorization of 1198 in exponential form is:

1198 = 21 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 1192 and 1198.

LCM(1192,1198) = 23 × 1491 × 5991
LCM(1192,1198) = 714008