Least Common Multiple of 7204 and 7207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7204 and 7207 the smallest integer that is 51919228 that is divisible by both numbers.

Least Common Multiple (LCM) of 7204 and 7207 is 51919228.

LCM(7204,7207) = 51919228

LCM of 7204 and 7207

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

LCM of:
and

Least Common Multiple of 7204 and 7207

LCM of 7204 and 7207 is 51919228

Least common multiple can be found by multiplying the highest exponent prime factors of 7204 and 7207. First we will calculate the prime factors of 7204 and 7207.

Prime Factorization of 7204


2 7204
2 3602
1801 1801
1

Prime factors of 7204 are 2,1801. Prime factorization of 7204 in exponential form is:

7204 = 22×18011

Prime Factorization of 7207


7207 7207
1

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

7207 = 72071

Now multiplying the highest exponent prime factors to calculate the LCM of 7204 and 7207.

LCM(7204,7207) = 22×18011×72071
LCM(7204,7207) = 51919228

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1, 2, 4, 1801, 3602, 7204

Factors of 7207

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

1, 7207

Least Common Multiple of 7204 and 7207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7204 and 7207, than apply into the LCM equation.

GCF(7204,7207) = 1
LCM(7204,7207) = ( 7204 × 7207) / 1
LCM(7204,7207) = 51919228 / 1
LCM(7204,7207) = 51919228

Properties of LCM 7204 and 7207

(i) The LCM of 7207 and 7204 is associative

LCM of 7204 and 7207 = LCM of 7207 and 7204

Related Least Common Multiples of 7204

Related Least Common Multiples of 7207

Frequently Asked Questions on LCM of 7204 and 7207

1. What is the LCM of 7204 and 7207?

Answer: LCM of 7204 and 7207 is 51919228.

2. What are the Factors of 7204?

Answer: Factors of 7204 are 1, 2, 4, 1801, 3602, 7204. There are 6 integers that are factors of 7204. The greatest factor of 7204 is 7204.

3. 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.

4. How to Find the LCM of 7204 and 7207?

Answer:

Least Common Multiple of 7204 and 7207 = 51919228

Step 1: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

Step 2: Find the prime factorization of 7207

7207 = 7207

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

LCM = 51919228 = 2 x 2 x 1801 x 7207

Step 4: Therefore, the least common multiple of 7204 and 7207 is 51919228.