Least Common Multiple of 12217 and 12221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12217 and 12221 the smallest integer that is 149303957 that is divisible by both numbers.

Least Common Multiple (LCM) of 12217 and 12221 is 149303957.

LCM(12217,12221) = 149303957

LCM of 12217 and 12221

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

LCM of:
and

Least Common Multiple of 12217 and 12221

LCM of 12217 and 12221 is 149303957

Least common multiple can be found by multiplying the highest exponent prime factors of 12217 and 12221. First we will calculate the prime factors of 12217 and 12221.

Prime Factorization of 12217


19 12217
643 643
1

Prime factors of 12217 are 19,643. Prime factorization of 12217 in exponential form is:

12217 = 191×6431

Prime Factorization of 12221


11 12221
11 1111
101 101
1

Prime factors of 12221 are 11,101. Prime factorization of 12221 in exponential form is:

12221 = 112×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 12217 and 12221.

LCM(12217,12221) = 112×191×1011×6431
LCM(12217,12221) = 149303957

Factors of 12217

List of positive integer factors of 12217 that divides 12217 without a remainder.

1, 19, 643, 12217

Factors of 12221

List of positive integer factors of 12221 that divides 12221 without a remainder.

1, 11, 101, 121, 1111, 12221

Least Common Multiple of 12217 and 12221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12217 and 12221, than apply into the LCM equation.

GCF(12217,12221) = 1
LCM(12217,12221) = ( 12217 × 12221) / 1
LCM(12217,12221) = 149303957 / 1
LCM(12217,12221) = 149303957

Properties of LCM 12217 and 12221

(i) The LCM of 12221 and 12217 is associative

LCM of 12217 and 12221 = LCM of 12221 and 12217

Related Least Common Multiples of 12217

Related Least Common Multiples of 12221

Frequently Asked Questions on LCM of 12217 and 12221

1. What is the LCM of 12217 and 12221?

Answer: LCM of 12217 and 12221 is 149303957.

2. What are the Factors of 12217?

Answer: Factors of 12217 are 1, 19, 643, 12217. There are 4 integers that are factors of 12217. The greatest factor of 12217 is 12217.

3. What are the Factors of 12221?

Answer: Factors of 12221 are 1, 11, 101, 121, 1111, 12221. There are 6 integers that are factors of 12221. The greatest factor of 12221 is 12221.

4. How to Find the LCM of 12217 and 12221?

Answer:

Least Common Multiple of 12217 and 12221 = 149303957

Step 1: Find the prime factorization of 12217

12217 = 19 x 643

Step 2: Find the prime factorization of 12221

12221 = 11 x 11 x 101

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

LCM = 149303957 = 11 x 11 x 19 x 101 x 643

Step 4: Therefore, the least common multiple of 12217 and 12221 is 149303957.