Least Common Multiple of 7164 and 7170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7164 and 7170 the smallest integer that is 8560980 that is divisible by both numbers.

Least Common Multiple (LCM) of 7164 and 7170 is 8560980.

LCM(7164,7170) = 8560980

LCM of 7164 and 7170

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

LCM of:
and

Least Common Multiple of 7164 and 7170

LCM of 7164 and 7170 is 8560980

Least common multiple can be found by multiplying the highest exponent prime factors of 7164 and 7170. First we will calculate the prime factors of 7164 and 7170.

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

Prime Factorization of 7170


2 7170
3 3585
5 1195
239 239
1

Prime factors of 7170 are 2, 3, 5,239. Prime factorization of 7170 in exponential form is:

7170 = 21×31×51×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7164 and 7170.

LCM(7164,7170) = 22×32×51×1991×2391
LCM(7164,7170) = 8560980

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

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170

Least Common Multiple of 7164 and 7170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7164 and 7170, than apply into the LCM equation.

GCF(7164,7170) = 6
LCM(7164,7170) = ( 7164 × 7170) / 6
LCM(7164,7170) = 51365880 / 6
LCM(7164,7170) = 8560980

Properties of LCM 7164 and 7170

(i) The LCM of 7170 and 7164 is associative

LCM of 7164 and 7170 = LCM of 7170 and 7164

Related Least Common Multiples of 7164

Related Least Common Multiples of 7170

Frequently Asked Questions on LCM of 7164 and 7170

1. What is the LCM of 7164 and 7170?

Answer: LCM of 7164 and 7170 is 8560980.

2. 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.

3. What are the Factors of 7170?

Answer: Factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170. There are 16 integers that are factors of 7170. The greatest factor of 7170 is 7170.

4. How to Find the LCM of 7164 and 7170?

Answer:

Least Common Multiple of 7164 and 7170 = 8560980

Step 1: Find the prime factorization of 7164

7164 = 2 x 2 x 3 x 3 x 199

Step 2: Find the prime factorization of 7170

7170 = 2 x 3 x 5 x 239

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

LCM = 8560980 = 2 x 2 x 3 x 3 x 5 x 199 x 239

Step 4: Therefore, the least common multiple of 7164 and 7170 is 8560980.