Least Common Multiple of 5215 and 5222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5215 and 5222 the smallest integer that is 3890390 that is divisible by both numbers.

Least Common Multiple (LCM) of 5215 and 5222 is 3890390.

LCM(5215,5222) = 3890390

LCM of 5215 and 5222

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

LCM of:
and

Least Common Multiple of 5215 and 5222

LCM of 5215 and 5222 is 3890390

Least common multiple can be found by multiplying the highest exponent prime factors of 5215 and 5222. First we will calculate the prime factors of 5215 and 5222.

Prime Factorization of 5215


5 5215
7 1043
149 149
1

Prime factors of 5215 are 5, 7,149. Prime factorization of 5215 in exponential form is:

5215 = 51×71×1491

Prime Factorization of 5222


2 5222
7 2611
373 373
1

Prime factors of 5222 are 2, 7,373. Prime factorization of 5222 in exponential form is:

5222 = 21×71×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 5215 and 5222.

LCM(5215,5222) = 21×51×71×1491×3731
LCM(5215,5222) = 3890390

Factors of 5215

List of positive integer factors of 5215 that divides 5215 without a remainder.

1, 5, 7, 35, 149, 745, 1043, 5215

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1, 2, 7, 14, 373, 746, 2611, 5222

Least Common Multiple of 5215 and 5222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5215 and 5222, than apply into the LCM equation.

GCF(5215,5222) = 7
LCM(5215,5222) = ( 5215 × 5222) / 7
LCM(5215,5222) = 27232730 / 7
LCM(5215,5222) = 3890390

Properties of LCM 5215 and 5222

(i) The LCM of 5222 and 5215 is associative

LCM of 5215 and 5222 = LCM of 5222 and 5215

Related Least Common Multiples of 5215

Related Least Common Multiples of 5222

Frequently Asked Questions on LCM of 5215 and 5222

1. What is the LCM of 5215 and 5222?

Answer: LCM of 5215 and 5222 is 3890390.

2. What are the Factors of 5215?

Answer: Factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215. There are 8 integers that are factors of 5215. The greatest factor of 5215 is 5215.

3. What are the Factors of 5222?

Answer: Factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222. There are 8 integers that are factors of 5222. The greatest factor of 5222 is 5222.

4. How to Find the LCM of 5215 and 5222?

Answer:

Least Common Multiple of 5215 and 5222 = 3890390

Step 1: Find the prime factorization of 5215

5215 = 5 x 7 x 149

Step 2: Find the prime factorization of 5222

5222 = 2 x 7 x 373

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

LCM = 3890390 = 2 x 5 x 7 x 149 x 373

Step 4: Therefore, the least common multiple of 5215 and 5222 is 3890390.