Least Common Multiple of 7187 and 7189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7187 and 7189 the smallest integer that is 51667343 that is divisible by both numbers.

Least Common Multiple (LCM) of 7187 and 7189 is 51667343.

LCM(7187,7189) = 51667343

LCM of 7187 and 7189

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

LCM of:
and

Least Common Multiple of 7187 and 7189

LCM of 7187 and 7189 is 51667343

Least common multiple can be found by multiplying the highest exponent prime factors of 7187 and 7189. First we will calculate the prime factors of 7187 and 7189.

Prime Factorization of 7187


7187 7187
1

Prime factors of 7187 are 7187. Prime factorization of 7187 in exponential form is:

7187 = 71871

Prime Factorization of 7189


7 7189
13 1027
79 79
1

Prime factors of 7189 are 7, 13,79. Prime factorization of 7189 in exponential form is:

7189 = 71×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7187 and 7189.

LCM(7187,7189) = 71×131×791×71871
LCM(7187,7189) = 51667343

Factors of 7187

List of positive integer factors of 7187 that divides 7187 without a remainder.

1, 7187

Factors of 7189

List of positive integer factors of 7189 that divides 7189 without a remainder.

1, 7, 13, 79, 91, 553, 1027, 7189

Least Common Multiple of 7187 and 7189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7187 and 7189, than apply into the LCM equation.

GCF(7187,7189) = 1
LCM(7187,7189) = ( 7187 × 7189) / 1
LCM(7187,7189) = 51667343 / 1
LCM(7187,7189) = 51667343

Properties of LCM 7187 and 7189

(i) The LCM of 7189 and 7187 is associative

LCM of 7187 and 7189 = LCM of 7189 and 7187

Related Least Common Multiples of 7187

Related Least Common Multiples of 7189

Frequently Asked Questions on LCM of 7187 and 7189

1. What is the LCM of 7187 and 7189?

Answer: LCM of 7187 and 7189 is 51667343.

2. What are the Factors of 7187?

Answer: Factors of 7187 are 1, 7187. There are 2 integers that are factors of 7187. The greatest factor of 7187 is 7187.

3. What are the Factors of 7189?

Answer: Factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189. There are 8 integers that are factors of 7189. The greatest factor of 7189 is 7189.

4. How to Find the LCM of 7187 and 7189?

Answer:

Least Common Multiple of 7187 and 7189 = 51667343

Step 1: Find the prime factorization of 7187

7187 = 7187

Step 2: Find the prime factorization of 7189

7189 = 7 x 13 x 79

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

LCM = 51667343 = 7 x 13 x 79 x 7187

Step 4: Therefore, the least common multiple of 7187 and 7189 is 51667343.