Least Common Multiple of 1198 and 1204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1198 and 1204 the smallest integer that is 721196 that is divisible by both numbers.

Least Common Multiple (LCM) of 1198 and 1204 is 721196.

LCM(1198,1204) = 721196

LCM of 1198 and 1204

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

LCM of:
and

Least Common Multiple of 1198 and 1204

LCM of 1198 and 1204 is 721196

Least common multiple can be found by multiplying the highest exponent prime factors of 1198 and 1204. First we will calculate the prime factors of 1198 and 1204.

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

Prime Factorization of 1204


2 1204
2 602
7 301
43 43
1

Prime factors of 1204 are 2, 7,43. Prime factorization of 1204 in exponential form is:

1204 = 22×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1198 and 1204.

LCM(1198,1204) = 22×71×431×5991
LCM(1198,1204) = 721196

Factors of 1198

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

1, 2, 599, 1198

Factors of 1204

List of positive integer factors of 1204 that divides 1204 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204

Least Common Multiple of 1198 and 1204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1198 and 1204, than apply into the LCM equation.

GCF(1198,1204) = 2
LCM(1198,1204) = ( 1198 × 1204) / 2
LCM(1198,1204) = 1442392 / 2
LCM(1198,1204) = 721196

Properties of LCM 1198 and 1204

(i) The LCM of 1204 and 1198 is associative

LCM of 1198 and 1204 = LCM of 1204 and 1198

Related Least Common Multiples of 1198

Related Least Common Multiples of 1204

Frequently Asked Questions on LCM of 1198 and 1204

1. What is the LCM of 1198 and 1204?

Answer: LCM of 1198 and 1204 is 721196.

2. 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.

3. What are the Factors of 1204?

Answer: Factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204. There are 12 integers that are factors of 1204. The greatest factor of 1204 is 1204.

4. How to Find the LCM of 1198 and 1204?

Answer:

Least Common Multiple of 1198 and 1204 = 721196

Step 1: Find the prime factorization of 1198

1198 = 2 x 599

Step 2: Find the prime factorization of 1204

1204 = 2 x 2 x 7 x 43

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

LCM = 721196 = 2 x 2 x 7 x 43 x 599

Step 4: Therefore, the least common multiple of 1198 and 1204 is 721196.