Least Common Multiple of 7207 and 7214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7207 and 7214 the smallest integer that is 51991298 that is divisible by both numbers.

Least Common Multiple (LCM) of 7207 and 7214 is 51991298.

LCM(7207,7214) = 51991298

LCM of 7207 and 7214

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

LCM of:
and

Least Common Multiple of 7207 and 7214

LCM of 7207 and 7214 is 51991298

Least common multiple can be found by multiplying the highest exponent prime factors of 7207 and 7214. First we will calculate the prime factors of 7207 and 7214.

Prime Factorization of 7207


7207 7207
1

Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:

7207 = 72071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7207 and 7214.

LCM(7207,7214) = 21×36071×72071
LCM(7207,7214) = 51991298

Factors of 7207

List of positive integer factors of 7207 that divides 7207 without a remainder.

1, 7207

Factors of 7214

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

1, 2, 3607, 7214

Least Common Multiple of 7207 and 7214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7207 and 7214, than apply into the LCM equation.

GCF(7207,7214) = 1
LCM(7207,7214) = ( 7207 × 7214) / 1
LCM(7207,7214) = 51991298 / 1
LCM(7207,7214) = 51991298

Properties of LCM 7207 and 7214

(i) The LCM of 7214 and 7207 is associative

LCM of 7207 and 7214 = LCM of 7214 and 7207

Related Least Common Multiples of 7207

Related Least Common Multiples of 7214

Frequently Asked Questions on LCM of 7207 and 7214

1. What is the LCM of 7207 and 7214?

Answer: LCM of 7207 and 7214 is 51991298.

2. What are the Factors of 7207?

Answer: Factors of 7207 are 1, 7207. There are 2 integers that are factors of 7207. The greatest factor of 7207 is 7207.

3. 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.

4. How to Find the LCM of 7207 and 7214?

Answer:

Least Common Multiple of 7207 and 7214 = 51991298

Step 1: Find the prime factorization of 7207

7207 = 7207

Step 2: Find the prime factorization of 7214

7214 = 2 x 3607

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

LCM = 51991298 = 2 x 3607 x 7207

Step 4: Therefore, the least common multiple of 7207 and 7214 is 51991298.