Least Common Multiple of 4198 and 4202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4198 and 4202 the smallest integer that is 8819998 that is divisible by both numbers.

Least Common Multiple (LCM) of 4198 and 4202 is 8819998.

LCM(4198,4202) = 8819998

LCM of 4198 and 4202

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

LCM of:
and

Least Common Multiple of 4198 and 4202

LCM of 4198 and 4202 is 8819998

Least common multiple can be found by multiplying the highest exponent prime factors of 4198 and 4202. First we will calculate the prime factors of 4198 and 4202.

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

Prime Factorization of 4202


2 4202
11 2101
191 191
1

Prime factors of 4202 are 2, 11,191. Prime factorization of 4202 in exponential form is:

4202 = 21×111×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4198 and 4202.

LCM(4198,4202) = 21×111×1911×20991
LCM(4198,4202) = 8819998

Factors of 4198

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

1, 2, 2099, 4198

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1, 2, 11, 22, 191, 382, 2101, 4202

Least Common Multiple of 4198 and 4202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4198 and 4202, than apply into the LCM equation.

GCF(4198,4202) = 2
LCM(4198,4202) = ( 4198 × 4202) / 2
LCM(4198,4202) = 17639996 / 2
LCM(4198,4202) = 8819998

Properties of LCM 4198 and 4202

(i) The LCM of 4202 and 4198 is associative

LCM of 4198 and 4202 = LCM of 4202 and 4198

Related Least Common Multiples of 4198

Related Least Common Multiples of 4202

Frequently Asked Questions on LCM of 4198 and 4202

1. What is the LCM of 4198 and 4202?

Answer: LCM of 4198 and 4202 is 8819998.

2. 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.

3. What are the Factors of 4202?

Answer: Factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202. There are 8 integers that are factors of 4202. The greatest factor of 4202 is 4202.

4. How to Find the LCM of 4198 and 4202?

Answer:

Least Common Multiple of 4198 and 4202 = 8819998

Step 1: Find the prime factorization of 4198

4198 = 2 x 2099

Step 2: Find the prime factorization of 4202

4202 = 2 x 11 x 191

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

LCM = 8819998 = 2 x 11 x 191 x 2099

Step 4: Therefore, the least common multiple of 4198 and 4202 is 8819998.