Least Common Multiple of 9212 and 9218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9212 and 9218 the smallest integer that is 42458108 that is divisible by both numbers.

Least Common Multiple (LCM) of 9212 and 9218 is 42458108.

LCM(9212,9218) = 42458108

LCM of 9212 and 9218

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

LCM of:
and

Least Common Multiple of 9212 and 9218

LCM of 9212 and 9218 is 42458108

Least common multiple can be found by multiplying the highest exponent prime factors of 9212 and 9218. First we will calculate the prime factors of 9212 and 9218.

Prime Factorization of 9212


2 9212
2 4606
7 2303
7 329
47 47
1

Prime factors of 9212 are 2, 7,47. Prime factorization of 9212 in exponential form is:

9212 = 22×72×471

Prime Factorization of 9218


2 9218
11 4609
419 419
1

Prime factors of 9218 are 2, 11,419. Prime factorization of 9218 in exponential form is:

9218 = 21×111×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 9212 and 9218.

LCM(9212,9218) = 22×72×111×471×4191
LCM(9212,9218) = 42458108

Factors of 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212

Factors of 9218

List of positive integer factors of 9218 that divides 9218 without a remainder.

1, 2, 11, 22, 419, 838, 4609, 9218

Least Common Multiple of 9212 and 9218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9212 and 9218, than apply into the LCM equation.

GCF(9212,9218) = 2
LCM(9212,9218) = ( 9212 × 9218) / 2
LCM(9212,9218) = 84916216 / 2
LCM(9212,9218) = 42458108

Properties of LCM 9212 and 9218

(i) The LCM of 9218 and 9212 is associative

LCM of 9212 and 9218 = LCM of 9218 and 9212

Related Least Common Multiples of 9212

Related Least Common Multiples of 9218

Frequently Asked Questions on LCM of 9212 and 9218

1. What is the LCM of 9212 and 9218?

Answer: LCM of 9212 and 9218 is 42458108.

2. What are the Factors of 9212?

Answer: Factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212. There are 18 integers that are factors of 9212. The greatest factor of 9212 is 9212.

3. What are the Factors of 9218?

Answer: Factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218. There are 8 integers that are factors of 9218. The greatest factor of 9218 is 9218.

4. How to Find the LCM of 9212 and 9218?

Answer:

Least Common Multiple of 9212 and 9218 = 42458108

Step 1: Find the prime factorization of 9212

9212 = 2 x 2 x 7 x 7 x 47

Step 2: Find the prime factorization of 9218

9218 = 2 x 11 x 419

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

LCM = 42458108 = 2 x 2 x 7 x 7 x 11 x 47 x 419

Step 4: Therefore, the least common multiple of 9212 and 9218 is 42458108.