Least Common Multiple of 7214 and 7222

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 7222 the smallest integer that is 26049754 that is divisible by both numbers.

Least Common Multiple (LCM) of 7214 and 7222 is 26049754.

LCM(7214,7222) = 26049754

LCM of 7214 and 7222

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

LCM of:
and

Least Common Multiple of 7214 and 7222

LCM of 7214 and 7222 is 26049754

Least common multiple can be found by multiplying the highest exponent prime factors of 7214 and 7222. First we will calculate the prime factors of 7214 and 7222.

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 7222


2 7222
23 3611
157 157
1

Prime factors of 7222 are 2, 23,157. Prime factorization of 7222 in exponential form is:

7222 = 21×231×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 7214 and 7222.

LCM(7214,7222) = 21×231×1571×36071
LCM(7214,7222) = 26049754

Factors of 7214

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

1, 2, 3607, 7214

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1, 2, 23, 46, 157, 314, 3611, 7222

Least Common Multiple of 7214 and 7222 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 7222, than apply into the LCM equation.

GCF(7214,7222) = 2
LCM(7214,7222) = ( 7214 × 7222) / 2
LCM(7214,7222) = 52099508 / 2
LCM(7214,7222) = 26049754

Properties of LCM 7214 and 7222

(i) The LCM of 7222 and 7214 is associative

LCM of 7214 and 7222 = LCM of 7222 and 7214

Related Least Common Multiples of 7214

Related Least Common Multiples of 7222

Frequently Asked Questions on LCM of 7214 and 7222

1. What is the LCM of 7214 and 7222?

Answer: LCM of 7214 and 7222 is 26049754.

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 7222?

Answer: Factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222. There are 8 integers that are factors of 7222. The greatest factor of 7222 is 7222.

4. How to Find the LCM of 7214 and 7222?

Answer:

Least Common Multiple of 7214 and 7222 = 26049754

Step 1: Find the prime factorization of 7214

7214 = 2 x 3607

Step 2: Find the prime factorization of 7222

7222 = 2 x 23 x 157

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

LCM = 26049754 = 2 x 23 x 157 x 3607

Step 4: Therefore, the least common multiple of 7214 and 7222 is 26049754.