Least Common Multiple of 2196 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 2196 and 2202 the smallest integer that is 805932 that is divisible by both numbers.

Least Common Multiple (LCM) of 2196 and 2202 is 805932.

LCM(2196,2202) = 805932

LCM of 2196 and 2202

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

LCM of:
and

Least Common Multiple of 2196 and 2202

LCM of 2196 and 2202 is 805932

Least common multiple can be found by multiplying the highest exponent prime factors of 2196 and 2202. First we will calculate the prime factors of 2196 and 2202.

Prime Factorization of 2196


2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 2196 are 2, 3,61. Prime factorization of 2196 in exponential form is:

2196 = 22×32×611

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 2196 and 2202.

LCM(2196,2202) = 22×32×611×3671
LCM(2196,2202) = 805932

Factors of 2196

List of positive integer factors of 2196 that divides 2196 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196

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 2196 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 2196 and 2202, than apply into the LCM equation.

GCF(2196,2202) = 6
LCM(2196,2202) = ( 2196 × 2202) / 6
LCM(2196,2202) = 4835592 / 6
LCM(2196,2202) = 805932

Properties of LCM 2196 and 2202

(i) The LCM of 2202 and 2196 is associative

LCM of 2196 and 2202 = LCM of 2202 and 2196

Related Least Common Multiples of 2196

Related Least Common Multiples of 2202

Frequently Asked Questions on LCM of 2196 and 2202

1. What is the LCM of 2196 and 2202?

Answer: LCM of 2196 and 2202 is 805932.

2. What are the Factors of 2196?

Answer: Factors of 2196 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196. There are 18 integers that are factors of 2196. The greatest factor of 2196 is 2196.

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 2196 and 2202?

Answer:

Least Common Multiple of 2196 and 2202 = 805932

Step 1: Find the prime factorization of 2196

2196 = 2 x 2 x 3 x 3 x 61

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 = 805932 = 2 x 2 x 3 x 3 x 61 x 367

Step 4: Therefore, the least common multiple of 2196 and 2202 is 805932.