Least Common Multiple of 7160 and 7164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7160 and 7164 the smallest integer that is 12823560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7160 and 7164 is 12823560.

LCM(7160,7164) = 12823560

LCM of 7160 and 7164

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

LCM of:
and

Least Common Multiple of 7160 and 7164

LCM of 7160 and 7164 is 12823560

Least common multiple can be found by multiplying the highest exponent prime factors of 7160 and 7164. First we will calculate the prime factors of 7160 and 7164.

Prime Factorization of 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2, 5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

Prime Factorization of 7164


2 7164
2 3582
3 1791
3 597
199 199
1

Prime factors of 7164 are 2, 3,199. Prime factorization of 7164 in exponential form is:

7164 = 22×32×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7160 and 7164.

LCM(7160,7164) = 23×32×51×1791×1991
LCM(7160,7164) = 12823560

Factors of 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164

Least Common Multiple of 7160 and 7164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7160 and 7164, than apply into the LCM equation.

GCF(7160,7164) = 4
LCM(7160,7164) = ( 7160 × 7164) / 4
LCM(7160,7164) = 51294240 / 4
LCM(7160,7164) = 12823560

Properties of LCM 7160 and 7164

(i) The LCM of 7164 and 7160 is associative

LCM of 7160 and 7164 = LCM of 7164 and 7160

Related Least Common Multiples of 7160

Related Least Common Multiples of 7164

Frequently Asked Questions on LCM of 7160 and 7164

1. What is the LCM of 7160 and 7164?

Answer: LCM of 7160 and 7164 is 12823560.

2. What are the Factors of 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

3. What are the Factors of 7164?

Answer: Factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164. There are 18 integers that are factors of 7164. The greatest factor of 7164 is 7164.

4. How to Find the LCM of 7160 and 7164?

Answer:

Least Common Multiple of 7160 and 7164 = 12823560

Step 1: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

Step 2: Find the prime factorization of 7164

7164 = 2 x 2 x 3 x 3 x 199

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

LCM = 12823560 = 2 x 2 x 2 x 3 x 3 x 5 x 179 x 199

Step 4: Therefore, the least common multiple of 7160 and 7164 is 12823560.