Least Common Multiple of 7214 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 7214 and 7218 the smallest integer that is 26035326 that is divisible by both numbers.

Least Common Multiple (LCM) of 7214 and 7218 is 26035326.

LCM(7214,7218) = 26035326

LCM of 7214 and 7218

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

LCM of:
and

Least Common Multiple of 7214 and 7218

LCM of 7214 and 7218 is 26035326

Least common multiple can be found by multiplying the highest exponent prime factors of 7214 and 7218. First we will calculate the prime factors of 7214 and 7218.

Prime Factorization of 7214


2 7214
3607 3607
1

Prime factors of 7214 are 2,3607. Prime factorization of 7214 in exponential form is:

7214 = 21×36071

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 7214 and 7218.

LCM(7214,7218) = 21×32×4011×36071
LCM(7214,7218) = 26035326

Factors of 7214

List of positive integer factors of 7214 that divides 7214 without a remainder.

1, 2, 3607, 7214

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 7214 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 7214 and 7218, than apply into the LCM equation.

GCF(7214,7218) = 2
LCM(7214,7218) = ( 7214 × 7218) / 2
LCM(7214,7218) = 52070652 / 2
LCM(7214,7218) = 26035326

Properties of LCM 7214 and 7218

(i) The LCM of 7218 and 7214 is associative

LCM of 7214 and 7218 = LCM of 7218 and 7214

Related Least Common Multiples of 7214

Related Least Common Multiples of 7218

Frequently Asked Questions on LCM of 7214 and 7218

1. What is the LCM of 7214 and 7218?

Answer: LCM of 7214 and 7218 is 26035326.

2. What are the Factors of 7214?

Answer: Factors of 7214 are 1, 2, 3607, 7214. There are 4 integers that are factors of 7214. The greatest factor of 7214 is 7214.

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 7214 and 7218?

Answer:

Least Common Multiple of 7214 and 7218 = 26035326

Step 1: Find the prime factorization of 7214

7214 = 2 x 3607

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 = 26035326 = 2 x 3 x 3 x 401 x 3607

Step 4: Therefore, the least common multiple of 7214 and 7218 is 26035326.