Least Common Multiple of 1190 and 1194

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 1194 the smallest integer that is 710430 that is divisible by both numbers.

Least Common Multiple (LCM) of 1190 and 1194 is 710430.

LCM(1190,1194) = 710430

LCM of 1190 and 1194

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

LCM of:
and

Least Common Multiple of 1190 and 1194

LCM of 1190 and 1194 is 710430

Least common multiple can be found by multiplying the highest exponent prime factors of 1190 and 1194. First we will calculate the prime factors of 1190 and 1194.

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 1194


2 1194
3 597
199 199
1

Prime factors of 1194 are 2, 3,199. Prime factorization of 1194 in exponential form is:

1194 = 21×31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1190 and 1194.

LCM(1190,1194) = 21×31×51×71×171×1991
LCM(1190,1194) = 710430

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 1194

List of positive integer factors of 1194 that divides 1194 without a remainder.

1, 2, 3, 6, 199, 398, 597, 1194

Least Common Multiple of 1190 and 1194 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 1194, than apply into the LCM equation.

GCF(1190,1194) = 2
LCM(1190,1194) = ( 1190 × 1194) / 2
LCM(1190,1194) = 1420860 / 2
LCM(1190,1194) = 710430

Properties of LCM 1190 and 1194

(i) The LCM of 1194 and 1190 is associative

LCM of 1190 and 1194 = LCM of 1194 and 1190

Related Least Common Multiples of 1190

Related Least Common Multiples of 1194

Frequently Asked Questions on LCM of 1190 and 1194

1. What is the LCM of 1190 and 1194?

Answer: LCM of 1190 and 1194 is 710430.

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 1194?

Answer: Factors of 1194 are 1, 2, 3, 6, 199, 398, 597, 1194. There are 8 integers that are factors of 1194. The greatest factor of 1194 is 1194.

4. How to Find the LCM of 1190 and 1194?

Answer:

Least Common Multiple of 1190 and 1194 = 710430

Step 1: Find the prime factorization of 1190

1190 = 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 1194

1194 = 2 x 3 x 199

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

LCM = 710430 = 2 x 3 x 5 x 7 x 17 x 199

Step 4: Therefore, the least common multiple of 1190 and 1194 is 710430.