Least Common Multiple of 1192 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 1192 and 1199 the smallest integer that is 1429208 that is divisible by both numbers.

Least Common Multiple (LCM) of 1192 and 1199 is 1429208.

LCM(1192,1199) = 1429208

LCM of 1192 and 1199

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

LCM of:
and

Least Common Multiple of 1192 and 1199

LCM of 1192 and 1199 is 1429208

Least common multiple can be found by multiplying the highest exponent prime factors of 1192 and 1199. First we will calculate the prime factors of 1192 and 1199.

Prime Factorization of 1192


2 1192
2 596
2 298
149 149
1

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

1192 = 23×1491

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 1192 and 1199.

LCM(1192,1199) = 23×111×1091×1491
LCM(1192,1199) = 1429208

Factors of 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1, 2, 4, 8, 149, 298, 596, 1192

Factors of 1199

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

1, 11, 109, 1199

Least Common Multiple of 1192 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 1192 and 1199, than apply into the LCM equation.

GCF(1192,1199) = 1
LCM(1192,1199) = ( 1192 × 1199) / 1
LCM(1192,1199) = 1429208 / 1
LCM(1192,1199) = 1429208

Properties of LCM 1192 and 1199

(i) The LCM of 1199 and 1192 is associative

LCM of 1192 and 1199 = LCM of 1199 and 1192

Related Least Common Multiples of 1192

Related Least Common Multiples of 1199

Frequently Asked Questions on LCM of 1192 and 1199

1. What is the LCM of 1192 and 1199?

Answer: LCM of 1192 and 1199 is 1429208.

2. What are the Factors of 1192?

Answer: Factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192. There are 8 integers that are factors of 1192. The greatest factor of 1192 is 1192.

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 1192 and 1199?

Answer:

Least Common Multiple of 1192 and 1199 = 1429208

Step 1: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

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 = 1429208 = 2 x 2 x 2 x 11 x 109 x 149

Step 4: Therefore, the least common multiple of 1192 and 1199 is 1429208.