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What is the Least Common Multiple of 1196 and 1203?

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 1196 and 1203 is 1438788.

LCM(1196,1203) = 1438788

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Least Common Multiple of 1196 and 1203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1196 and 1203, than apply into the LCM equation.

GCF(1196,1203) = 1
LCM(1196,1203) = ( 1196 × 1203) / 1
LCM(1196,1203) = 1438788 / 1
LCM(1196,1203) = 1438788

Least Common Multiple (LCM) of 1196 and 1203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1196 and 1203. First we will calculate the prime factors of 1196 and 1203.

Prime Factorization of 1196

Prime factors of 1196 are 2, 13, 23. Prime factorization of 1196 in exponential form is:

1196 = 22 × 131 × 231

Prime Factorization of 1203

Prime factors of 1203 are 3, 401. Prime factorization of 1203 in exponential form is:

1203 = 31 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 1196 and 1203.

LCM(1196,1203) = 22 × 131 × 231 × 31 × 4011
LCM(1196,1203) = 1438788