Least Common Multiple of 1193 and 1199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1193 and 1199 the smallest integer that is 1430407 that is divisible by both numbers.

Least Common Multiple (LCM) of 1193 and 1199 is 1430407.

LCM(1193,1199) = 1430407

LCM of 1193 and 1199

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1193 and 1199

LCM of 1193 and 1199 is 1430407

Least common multiple can be found by multiplying the highest exponent prime factors of 1193 and 1199. First we will calculate the prime factors of 1193 and 1199.

Prime Factorization of 1193


1193 1193
1

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

1193 = 11931

Prime Factorization of 1199


11 1199
109 109
1

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 1193 and 1199.

LCM(1193,1199) = 111×1091×11931
LCM(1193,1199) = 1430407

Factors of 1193

List of positive integer factors of 1193 that divides 1193 without a remainder.

1, 1193

Factors of 1199

List of positive integer factors of 1199 that divides 1199 without a remainder.

1, 11, 109, 1199

Least Common Multiple of 1193 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 1193 and 1199, than apply into the LCM equation.

GCF(1193,1199) = 1
LCM(1193,1199) = ( 1193 × 1199) / 1
LCM(1193,1199) = 1430407 / 1
LCM(1193,1199) = 1430407

Properties of LCM 1193 and 1199

(i) The LCM of 1199 and 1193 is associative

LCM of 1193 and 1199 = LCM of 1199 and 1193

Related Least Common Multiples of 1193

Related Least Common Multiples of 1199

Frequently Asked Questions on LCM of 1193 and 1199

1. What is the LCM of 1193 and 1199?

Answer: LCM of 1193 and 1199 is 1430407.

2. What are the Factors of 1193?

Answer: Factors of 1193 are 1, 1193. There are 2 integers that are factors of 1193. The greatest factor of 1193 is 1193.

3. What are the Factors of 1199?

Answer: Factors of 1199 are 1, 11, 109, 1199. There are 4 integers that are factors of 1199. The greatest factor of 1199 is 1199.

4. How to Find the LCM of 1193 and 1199?

Answer:

Least Common Multiple of 1193 and 1199 = 1430407

Step 1: Find the prime factorization of 1193

1193 = 1193

Step 2: Find the prime factorization of 1199

1199 = 11 x 109

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1430407 = 11 x 109 x 1193

Step 4: Therefore, the least common multiple of 1193 and 1199 is 1430407.