Least Common Multiple of 4197 and 4198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4197 and 4198 the smallest integer that is 17619006 that is divisible by both numbers.

Least Common Multiple (LCM) of 4197 and 4198 is 17619006.

LCM(4197,4198) = 17619006

LCM of 4197 and 4198

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

LCM of:
and

Least Common Multiple of 4197 and 4198

LCM of 4197 and 4198 is 17619006

Least common multiple can be found by multiplying the highest exponent prime factors of 4197 and 4198. First we will calculate the prime factors of 4197 and 4198.

Prime Factorization of 4197


3 4197
1399 1399
1

Prime factors of 4197 are 3,1399. Prime factorization of 4197 in exponential form is:

4197 = 31×13991

Prime Factorization of 4198


2 4198
2099 2099
1

Prime factors of 4198 are 2,2099. Prime factorization of 4198 in exponential form is:

4198 = 21×20991

Now multiplying the highest exponent prime factors to calculate the LCM of 4197 and 4198.

LCM(4197,4198) = 21×31×13991×20991
LCM(4197,4198) = 17619006

Factors of 4197

List of positive integer factors of 4197 that divides 4197 without a remainder.

1, 3, 1399, 4197

Factors of 4198

List of positive integer factors of 4198 that divides 4198 without a remainder.

1, 2, 2099, 4198

Least Common Multiple of 4197 and 4198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4197 and 4198, than apply into the LCM equation.

GCF(4197,4198) = 1
LCM(4197,4198) = ( 4197 × 4198) / 1
LCM(4197,4198) = 17619006 / 1
LCM(4197,4198) = 17619006

Properties of LCM 4197 and 4198

(i) The LCM of 4198 and 4197 is associative

LCM of 4197 and 4198 = LCM of 4198 and 4197

Related Least Common Multiples of 4197

Related Least Common Multiples of 4198

Frequently Asked Questions on LCM of 4197 and 4198

1. What is the LCM of 4197 and 4198?

Answer: LCM of 4197 and 4198 is 17619006.

2. What are the Factors of 4197?

Answer: Factors of 4197 are 1, 3, 1399, 4197. There are 4 integers that are factors of 4197. The greatest factor of 4197 is 4197.

3. What are the Factors of 4198?

Answer: Factors of 4198 are 1, 2, 2099, 4198. There are 4 integers that are factors of 4198. The greatest factor of 4198 is 4198.

4. How to Find the LCM of 4197 and 4198?

Answer:

Least Common Multiple of 4197 and 4198 = 17619006

Step 1: Find the prime factorization of 4197

4197 = 3 x 1399

Step 2: Find the prime factorization of 4198

4198 = 2 x 2099

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

LCM = 17619006 = 2 x 3 x 1399 x 2099

Step 4: Therefore, the least common multiple of 4197 and 4198 is 17619006.