Least Common Multiple of 2198 and 2202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2198 and 2202 the smallest integer that is 2419998 that is divisible by both numbers.

Least Common Multiple (LCM) of 2198 and 2202 is 2419998.

LCM(2198,2202) = 2419998

LCM of 2198 and 2202

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

LCM of:
and

Least Common Multiple of 2198 and 2202

LCM of 2198 and 2202 is 2419998

Least common multiple can be found by multiplying the highest exponent prime factors of 2198 and 2202. First we will calculate the prime factors of 2198 and 2202.

Prime Factorization of 2198


2 2198
7 1099
157 157
1

Prime factors of 2198 are 2, 7,157. Prime factorization of 2198 in exponential form is:

2198 = 21×71×1571

Prime Factorization of 2202


2 2202
3 1101
367 367
1

Prime factors of 2202 are 2, 3,367. Prime factorization of 2202 in exponential form is:

2202 = 21×31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 2198 and 2202.

LCM(2198,2202) = 21×31×71×1571×3671
LCM(2198,2202) = 2419998

Factors of 2198

List of positive integer factors of 2198 that divides 2198 without a remainder.

1, 2, 7, 14, 157, 314, 1099, 2198

Factors of 2202

List of positive integer factors of 2202 that divides 2202 without a remainder.

1, 2, 3, 6, 367, 734, 1101, 2202

Least Common Multiple of 2198 and 2202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2198 and 2202, than apply into the LCM equation.

GCF(2198,2202) = 2
LCM(2198,2202) = ( 2198 × 2202) / 2
LCM(2198,2202) = 4839996 / 2
LCM(2198,2202) = 2419998

Properties of LCM 2198 and 2202

(i) The LCM of 2202 and 2198 is associative

LCM of 2198 and 2202 = LCM of 2202 and 2198

Related Least Common Multiples of 2198

Related Least Common Multiples of 2202

Frequently Asked Questions on LCM of 2198 and 2202

1. What is the LCM of 2198 and 2202?

Answer: LCM of 2198 and 2202 is 2419998.

2. What are the Factors of 2198?

Answer: Factors of 2198 are 1, 2, 7, 14, 157, 314, 1099, 2198. There are 8 integers that are factors of 2198. The greatest factor of 2198 is 2198.

3. What are the Factors of 2202?

Answer: Factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202. There are 8 integers that are factors of 2202. The greatest factor of 2202 is 2202.

4. How to Find the LCM of 2198 and 2202?

Answer:

Least Common Multiple of 2198 and 2202 = 2419998

Step 1: Find the prime factorization of 2198

2198 = 2 x 7 x 157

Step 2: Find the prime factorization of 2202

2202 = 2 x 3 x 367

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

LCM = 2419998 = 2 x 3 x 7 x 157 x 367

Step 4: Therefore, the least common multiple of 2198 and 2202 is 2419998.