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What is the Least Common Multiple of 1193 and 1208?

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 1193 and 1208 is 1441144.

LCM(1193,1208) = 1441144

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Least Common Multiple of 1193 and 1208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1193 and 1208, than apply into the LCM equation.

GCF(1193,1208) = 1
LCM(1193,1208) = ( 1193 × 1208) / 1
LCM(1193,1208) = 1441144 / 1
LCM(1193,1208) = 1441144

Least Common Multiple (LCM) of 1193 and 1208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1193 and 1208. First we will calculate the prime factors of 1193 and 1208.

Prime Factorization of 1193

Prime factors of 1193 are 1193. Prime factorization of 1193 in exponential form is:

1193 = 11931

Prime Factorization of 1208

Prime factors of 1208 are 2, 151. Prime factorization of 1208 in exponential form is:

1208 = 23 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1193 and 1208.

LCM(1193,1208) = 11931 × 23 × 1511
LCM(1193,1208) = 1441144