Least Common Multiple of 7198 and 7206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7198 and 7206 the smallest integer that is 25934394 that is divisible by both numbers.

Least Common Multiple (LCM) of 7198 and 7206 is 25934394.

LCM(7198,7206) = 25934394

LCM of 7198 and 7206

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

LCM of:
and

Least Common Multiple of 7198 and 7206

LCM of 7198 and 7206 is 25934394

Least common multiple can be found by multiplying the highest exponent prime factors of 7198 and 7206. First we will calculate the prime factors of 7198 and 7206.

Prime Factorization of 7198


2 7198
59 3599
61 61
1

Prime factors of 7198 are 2, 59,61. Prime factorization of 7198 in exponential form is:

7198 = 21×591×611

Prime Factorization of 7206


2 7206
3 3603
1201 1201
1

Prime factors of 7206 are 2, 3,1201. Prime factorization of 7206 in exponential form is:

7206 = 21×31×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 7198 and 7206.

LCM(7198,7206) = 21×31×591×611×12011
LCM(7198,7206) = 25934394

Factors of 7198

List of positive integer factors of 7198 that divides 7198 without a remainder.

1, 2, 59, 61, 118, 122, 3599, 7198

Factors of 7206

List of positive integer factors of 7206 that divides 7206 without a remainder.

1, 2, 3, 6, 1201, 2402, 3603, 7206

Least Common Multiple of 7198 and 7206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7198 and 7206, than apply into the LCM equation.

GCF(7198,7206) = 2
LCM(7198,7206) = ( 7198 × 7206) / 2
LCM(7198,7206) = 51868788 / 2
LCM(7198,7206) = 25934394

Properties of LCM 7198 and 7206

(i) The LCM of 7206 and 7198 is associative

LCM of 7198 and 7206 = LCM of 7206 and 7198

Related Least Common Multiples of 7198

Related Least Common Multiples of 7206

Frequently Asked Questions on LCM of 7198 and 7206

1. What is the LCM of 7198 and 7206?

Answer: LCM of 7198 and 7206 is 25934394.

2. What are the Factors of 7198?

Answer: Factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198. There are 8 integers that are factors of 7198. The greatest factor of 7198 is 7198.

3. What are the Factors of 7206?

Answer: Factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206. There are 8 integers that are factors of 7206. The greatest factor of 7206 is 7206.

4. How to Find the LCM of 7198 and 7206?

Answer:

Least Common Multiple of 7198 and 7206 = 25934394

Step 1: Find the prime factorization of 7198

7198 = 2 x 59 x 61

Step 2: Find the prime factorization of 7206

7206 = 2 x 3 x 1201

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

LCM = 25934394 = 2 x 3 x 59 x 61 x 1201

Step 4: Therefore, the least common multiple of 7198 and 7206 is 25934394.