Least Common Multiple of 7214 and 7221

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 7221 the smallest integer that is 52092294 that is divisible by both numbers.

Least Common Multiple (LCM) of 7214 and 7221 is 52092294.

LCM(7214,7221) = 52092294

LCM of 7214 and 7221

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

LCM of:
and

Least Common Multiple of 7214 and 7221

LCM of 7214 and 7221 is 52092294

Least common multiple can be found by multiplying the highest exponent prime factors of 7214 and 7221. First we will calculate the prime factors of 7214 and 7221.

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 7221


3 7221
29 2407
83 83
1

Prime factors of 7221 are 3, 29,83. Prime factorization of 7221 in exponential form is:

7221 = 31×291×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7214 and 7221.

LCM(7214,7221) = 21×31×291×831×36071
LCM(7214,7221) = 52092294

Factors of 7214

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

1, 2, 3607, 7214

Factors of 7221

List of positive integer factors of 7221 that divides 7221 without a remainder.

1, 3, 29, 83, 87, 249, 2407, 7221

Least Common Multiple of 7214 and 7221 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 7221, than apply into the LCM equation.

GCF(7214,7221) = 1
LCM(7214,7221) = ( 7214 × 7221) / 1
LCM(7214,7221) = 52092294 / 1
LCM(7214,7221) = 52092294

Properties of LCM 7214 and 7221

(i) The LCM of 7221 and 7214 is associative

LCM of 7214 and 7221 = LCM of 7221 and 7214

Related Least Common Multiples of 7214

Related Least Common Multiples of 7221

Frequently Asked Questions on LCM of 7214 and 7221

1. What is the LCM of 7214 and 7221?

Answer: LCM of 7214 and 7221 is 52092294.

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 7221?

Answer: Factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221. There are 8 integers that are factors of 7221. The greatest factor of 7221 is 7221.

4. How to Find the LCM of 7214 and 7221?

Answer:

Least Common Multiple of 7214 and 7221 = 52092294

Step 1: Find the prime factorization of 7214

7214 = 2 x 3607

Step 2: Find the prime factorization of 7221

7221 = 3 x 29 x 83

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

LCM = 52092294 = 2 x 3 x 29 x 83 x 3607

Step 4: Therefore, the least common multiple of 7214 and 7221 is 52092294.