Least Common Multiple of 12202 and 12206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12202 and 12206 the smallest integer that is 74468806 that is divisible by both numbers.

Least Common Multiple (LCM) of 12202 and 12206 is 74468806.

LCM(12202,12206) = 74468806

LCM of 12202 and 12206

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

LCM of:
and

Least Common Multiple of 12202 and 12206

LCM of 12202 and 12206 is 74468806

Least common multiple can be found by multiplying the highest exponent prime factors of 12202 and 12206. First we will calculate the prime factors of 12202 and 12206.

Prime Factorization of 12202


2 12202
6101 6101
1

Prime factors of 12202 are 2,6101. Prime factorization of 12202 in exponential form is:

12202 = 21×61011

Prime Factorization of 12206


2 12206
17 6103
359 359
1

Prime factors of 12206 are 2, 17,359. Prime factorization of 12206 in exponential form is:

12206 = 21×171×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 12202 and 12206.

LCM(12202,12206) = 21×171×3591×61011
LCM(12202,12206) = 74468806

Factors of 12202

List of positive integer factors of 12202 that divides 12202 without a remainder.

1, 2, 6101, 12202

Factors of 12206

List of positive integer factors of 12206 that divides 12206 without a remainder.

1, 2, 17, 34, 359, 718, 6103, 12206

Least Common Multiple of 12202 and 12206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12202 and 12206, than apply into the LCM equation.

GCF(12202,12206) = 2
LCM(12202,12206) = ( 12202 × 12206) / 2
LCM(12202,12206) = 148937612 / 2
LCM(12202,12206) = 74468806

Properties of LCM 12202 and 12206

(i) The LCM of 12206 and 12202 is associative

LCM of 12202 and 12206 = LCM of 12206 and 12202

Related Least Common Multiples of 12202

Related Least Common Multiples of 12206

Frequently Asked Questions on LCM of 12202 and 12206

1. What is the LCM of 12202 and 12206?

Answer: LCM of 12202 and 12206 is 74468806.

2. What are the Factors of 12202?

Answer: Factors of 12202 are 1, 2, 6101, 12202. There are 4 integers that are factors of 12202. The greatest factor of 12202 is 12202.

3. What are the Factors of 12206?

Answer: Factors of 12206 are 1, 2, 17, 34, 359, 718, 6103, 12206. There are 8 integers that are factors of 12206. The greatest factor of 12206 is 12206.

4. How to Find the LCM of 12202 and 12206?

Answer:

Least Common Multiple of 12202 and 12206 = 74468806

Step 1: Find the prime factorization of 12202

12202 = 2 x 6101

Step 2: Find the prime factorization of 12206

12206 = 2 x 17 x 359

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

LCM = 74468806 = 2 x 17 x 359 x 6101

Step 4: Therefore, the least common multiple of 12202 and 12206 is 74468806.