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What is the Least Common Multiple of 1190 and 1199?

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 1190 and 1199 is 1426810.

LCM(1190,1199) = 1426810

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Least Common Multiple of 1190 and 1199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1190 and 1199, than apply into the LCM equation.

GCF(1190,1199) = 1
LCM(1190,1199) = ( 1190 × 1199) / 1
LCM(1190,1199) = 1426810 / 1
LCM(1190,1199) = 1426810

Least Common Multiple (LCM) of 1190 and 1199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1190 and 1199. First we will calculate the prime factors of 1190 and 1199.

Prime Factorization of 1190

Prime factors of 1190 are 2, 5, 7, 17. Prime factorization of 1190 in exponential form is:

1190 = 21 × 51 × 71 × 171

Prime Factorization of 1199

Prime factors of 1199 are 11, 109. Prime factorization of 1199 in exponential form is:

1199 = 111 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1190 and 1199.

LCM(1190,1199) = 21 × 51 × 71 × 171 × 111 × 1091
LCM(1190,1199) = 1426810