Least Common Multiple of 7164 and 7171

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 7171 the smallest integer that is 51373044 that is divisible by both numbers.

Least Common Multiple (LCM) of 7164 and 7171 is 51373044.

LCM(7164,7171) = 51373044

LCM of 7164 and 7171

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

LCM of:
and

Least Common Multiple of 7164 and 7171

LCM of 7164 and 7171 is 51373044

Least common multiple can be found by multiplying the highest exponent prime factors of 7164 and 7171. First we will calculate the prime factors of 7164 and 7171.

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 7171


71 7171
101 101
1

Prime factors of 7171 are 71,101. Prime factorization of 7171 in exponential form is:

7171 = 711×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7164 and 7171.

LCM(7164,7171) = 22×32×711×1011×1991
LCM(7164,7171) = 51373044

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 7171

List of positive integer factors of 7171 that divides 7171 without a remainder.

1, 71, 101, 7171

Least Common Multiple of 7164 and 7171 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 7171, than apply into the LCM equation.

GCF(7164,7171) = 1
LCM(7164,7171) = ( 7164 × 7171) / 1
LCM(7164,7171) = 51373044 / 1
LCM(7164,7171) = 51373044

Properties of LCM 7164 and 7171

(i) The LCM of 7171 and 7164 is associative

LCM of 7164 and 7171 = LCM of 7171 and 7164

Related Least Common Multiples of 7164

Related Least Common Multiples of 7171

Frequently Asked Questions on LCM of 7164 and 7171

1. What is the LCM of 7164 and 7171?

Answer: LCM of 7164 and 7171 is 51373044.

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 7171?

Answer: Factors of 7171 are 1, 71, 101, 7171. There are 4 integers that are factors of 7171. The greatest factor of 7171 is 7171.

4. How to Find the LCM of 7164 and 7171?

Answer:

Least Common Multiple of 7164 and 7171 = 51373044

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 7171

7171 = 71 x 101

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

LCM = 51373044 = 2 x 2 x 3 x 3 x 71 x 101 x 199

Step 4: Therefore, the least common multiple of 7164 and 7171 is 51373044.