Least Common Multiple of 7164 and 7169

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 7169 the smallest integer that is 51358716 that is divisible by both numbers.

Least Common Multiple (LCM) of 7164 and 7169 is 51358716.

LCM(7164,7169) = 51358716

LCM of 7164 and 7169

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

LCM of:
and

Least Common Multiple of 7164 and 7169

LCM of 7164 and 7169 is 51358716

Least common multiple can be found by multiplying the highest exponent prime factors of 7164 and 7169. First we will calculate the prime factors of 7164 and 7169.

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 7169


67 7169
107 107
1

Prime factors of 7169 are 67,107. Prime factorization of 7169 in exponential form is:

7169 = 671×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 7164 and 7169.

LCM(7164,7169) = 22×32×671×1071×1991
LCM(7164,7169) = 51358716

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 7169

List of positive integer factors of 7169 that divides 7169 without a remainder.

1, 67, 107, 7169

Least Common Multiple of 7164 and 7169 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 7169, than apply into the LCM equation.

GCF(7164,7169) = 1
LCM(7164,7169) = ( 7164 × 7169) / 1
LCM(7164,7169) = 51358716 / 1
LCM(7164,7169) = 51358716

Properties of LCM 7164 and 7169

(i) The LCM of 7169 and 7164 is associative

LCM of 7164 and 7169 = LCM of 7169 and 7164

Related Least Common Multiples of 7164

Related Least Common Multiples of 7169

Frequently Asked Questions on LCM of 7164 and 7169

1. What is the LCM of 7164 and 7169?

Answer: LCM of 7164 and 7169 is 51358716.

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 7169?

Answer: Factors of 7169 are 1, 67, 107, 7169. There are 4 integers that are factors of 7169. The greatest factor of 7169 is 7169.

4. How to Find the LCM of 7164 and 7169?

Answer:

Least Common Multiple of 7164 and 7169 = 51358716

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 7169

7169 = 67 x 107

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

LCM = 51358716 = 2 x 2 x 3 x 3 x 67 x 107 x 199

Step 4: Therefore, the least common multiple of 7164 and 7169 is 51358716.