Least Common Multiple of 7213 and 7218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7213 and 7218 the smallest integer that is 52063434 that is divisible by both numbers.

Least Common Multiple (LCM) of 7213 and 7218 is 52063434.

LCM(7213,7218) = 52063434

LCM of 7213 and 7218

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

LCM of:
and

Least Common Multiple of 7213 and 7218

LCM of 7213 and 7218 is 52063434

Least common multiple can be found by multiplying the highest exponent prime factors of 7213 and 7218. First we will calculate the prime factors of 7213 and 7218.

Prime Factorization of 7213


7213 7213
1

Prime factors of 7213 are 7213. Prime factorization of 7213 in exponential form is:

7213 = 72131

Prime Factorization of 7218


2 7218
3 3609
3 1203
401 401
1

Prime factors of 7218 are 2, 3,401. Prime factorization of 7218 in exponential form is:

7218 = 21×32×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 7213 and 7218.

LCM(7213,7218) = 21×32×4011×72131
LCM(7213,7218) = 52063434

Factors of 7213

List of positive integer factors of 7213 that divides 7213 without a remainder.

1, 7213

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218

Least Common Multiple of 7213 and 7218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7213 and 7218, than apply into the LCM equation.

GCF(7213,7218) = 1
LCM(7213,7218) = ( 7213 × 7218) / 1
LCM(7213,7218) = 52063434 / 1
LCM(7213,7218) = 52063434

Properties of LCM 7213 and 7218

(i) The LCM of 7218 and 7213 is associative

LCM of 7213 and 7218 = LCM of 7218 and 7213

Related Least Common Multiples of 7213

Related Least Common Multiples of 7218

Frequently Asked Questions on LCM of 7213 and 7218

1. What is the LCM of 7213 and 7218?

Answer: LCM of 7213 and 7218 is 52063434.

2. What are the Factors of 7213?

Answer: Factors of 7213 are 1, 7213. There are 2 integers that are factors of 7213. The greatest factor of 7213 is 7213.

3. What are the Factors of 7218?

Answer: Factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218. There are 12 integers that are factors of 7218. The greatest factor of 7218 is 7218.

4. How to Find the LCM of 7213 and 7218?

Answer:

Least Common Multiple of 7213 and 7218 = 52063434

Step 1: Find the prime factorization of 7213

7213 = 7213

Step 2: Find the prime factorization of 7218

7218 = 2 x 3 x 3 x 401

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

LCM = 52063434 = 2 x 3 x 3 x 401 x 7213

Step 4: Therefore, the least common multiple of 7213 and 7218 is 52063434.