Least Common Multiple of 1190 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 1190 and 1198 the smallest integer that is 712810 that is divisible by both numbers.

Least Common Multiple (LCM) of 1190 and 1198 is 712810.

LCM(1190,1198) = 712810

LCM of 1190 and 1198

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

LCM of:
and

Least Common Multiple of 1190 and 1198

LCM of 1190 and 1198 is 712810

Least common multiple can be found by multiplying the highest exponent prime factors of 1190 and 1198. First we will calculate the prime factors of 1190 and 1198.

Prime Factorization of 1190


2 1190
5 595
7 119
17 17
1

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 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 1190 and 1198.

LCM(1190,1198) = 21×51×71×171×5991
LCM(1190,1198) = 712810

Factors of 1190

List of positive integer factors of 1190 that divides 1190 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190

Factors of 1198

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

1, 2, 599, 1198

Least Common Multiple of 1190 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 1190 and 1198, than apply into the LCM equation.

GCF(1190,1198) = 2
LCM(1190,1198) = ( 1190 × 1198) / 2
LCM(1190,1198) = 1425620 / 2
LCM(1190,1198) = 712810

Properties of LCM 1190 and 1198

(i) The LCM of 1198 and 1190 is associative

LCM of 1190 and 1198 = LCM of 1198 and 1190

Related Least Common Multiples of 1190

Related Least Common Multiples of 1198

Frequently Asked Questions on LCM of 1190 and 1198

1. What is the LCM of 1190 and 1198?

Answer: LCM of 1190 and 1198 is 712810.

2. What are the Factors of 1190?

Answer: Factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190. There are 16 integers that are factors of 1190. The greatest factor of 1190 is 1190.

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 1190 and 1198?

Answer:

Least Common Multiple of 1190 and 1198 = 712810

Step 1: Find the prime factorization of 1190

1190 = 2 x 5 x 7 x 17

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 = 712810 = 2 x 5 x 7 x 17 x 599

Step 4: Therefore, the least common multiple of 1190 and 1198 is 712810.