Least Common Multiple of 1194 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 1194 and 1198 the smallest integer that is 715206 that is divisible by both numbers.

Least Common Multiple (LCM) of 1194 and 1198 is 715206.

LCM(1194,1198) = 715206

LCM of 1194 and 1198

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

LCM of:
and

Least Common Multiple of 1194 and 1198

LCM of 1194 and 1198 is 715206

Least common multiple can be found by multiplying the highest exponent prime factors of 1194 and 1198. First we will calculate the prime factors of 1194 and 1198.

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

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 1194 and 1198.

LCM(1194,1198) = 21×31×1991×5991
LCM(1194,1198) = 715206

Factors of 1194

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

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

Factors of 1198

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

1, 2, 599, 1198

Least Common Multiple of 1194 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 1194 and 1198, than apply into the LCM equation.

GCF(1194,1198) = 2
LCM(1194,1198) = ( 1194 × 1198) / 2
LCM(1194,1198) = 1430412 / 2
LCM(1194,1198) = 715206

Properties of LCM 1194 and 1198

(i) The LCM of 1198 and 1194 is associative

LCM of 1194 and 1198 = LCM of 1198 and 1194

Related Least Common Multiples of 1194

Related Least Common Multiples of 1198

Frequently Asked Questions on LCM of 1194 and 1198

1. What is the LCM of 1194 and 1198?

Answer: LCM of 1194 and 1198 is 715206.

2. 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.

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 1194 and 1198?

Answer:

Least Common Multiple of 1194 and 1198 = 715206

Step 1: Find the prime factorization of 1194

1194 = 2 x 3 x 199

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 = 715206 = 2 x 3 x 199 x 599

Step 4: Therefore, the least common multiple of 1194 and 1198 is 715206.