Least Common Multiple of 1192 and 1198

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 1198 the smallest integer that is 714008 that is divisible by both numbers.

Least Common Multiple (LCM) of 1192 and 1198 is 714008.

LCM(1192,1198) = 714008

LCM of 1192 and 1198

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

LCM of:
and

Least Common Multiple of 1192 and 1198

LCM of 1192 and 1198 is 714008

Least common multiple can be found by multiplying the highest exponent prime factors of 1192 and 1198. First we will calculate the prime factors of 1192 and 1198.

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 1198


2 1198
599 599
1

Prime factors of 1198 are 2,599. Prime factorization of 1198 in exponential form is:

1198 = 21×5991

Now multiplying the highest exponent prime factors to calculate the LCM of 1192 and 1198.

LCM(1192,1198) = 23×1491×5991
LCM(1192,1198) = 714008

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 1198

List of positive integer factors of 1198 that divides 1198 without a remainder.

1, 2, 599, 1198

Least Common Multiple of 1192 and 1198 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 1198, than apply into the LCM equation.

GCF(1192,1198) = 2
LCM(1192,1198) = ( 1192 × 1198) / 2
LCM(1192,1198) = 1428016 / 2
LCM(1192,1198) = 714008

Properties of LCM 1192 and 1198

(i) The LCM of 1198 and 1192 is associative

LCM of 1192 and 1198 = LCM of 1198 and 1192

Related Least Common Multiples of 1192

Related Least Common Multiples of 1198

Frequently Asked Questions on LCM of 1192 and 1198

1. What is the LCM of 1192 and 1198?

Answer: LCM of 1192 and 1198 is 714008.

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 1198?

Answer: Factors of 1198 are 1, 2, 599, 1198. There are 4 integers that are factors of 1198. The greatest factor of 1198 is 1198.

4. How to Find the LCM of 1192 and 1198?

Answer:

Least Common Multiple of 1192 and 1198 = 714008

Step 1: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 1198

1198 = 2 x 599

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

LCM = 714008 = 2 x 2 x 2 x 149 x 599

Step 4: Therefore, the least common multiple of 1192 and 1198 is 714008.