Least Common Multiple of 7169 and 7176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7169 and 7176 the smallest integer that is 51444744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7169 and 7176 is 51444744.

LCM(7169,7176) = 51444744

LCM of 7169 and 7176

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

LCM of:
and

Least Common Multiple of 7169 and 7176

LCM of 7169 and 7176 is 51444744

Least common multiple can be found by multiplying the highest exponent prime factors of 7169 and 7176. First we will calculate the prime factors of 7169 and 7176.

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

Prime Factorization of 7176


2 7176
2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 7176 are 2, 3, 13,23. Prime factorization of 7176 in exponential form is:

7176 = 23×31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7169 and 7176.

LCM(7169,7176) = 23×31×131×231×671×1071
LCM(7169,7176) = 51444744

Factors of 7169

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

1, 67, 107, 7169

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176

Least Common Multiple of 7169 and 7176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7169 and 7176, than apply into the LCM equation.

GCF(7169,7176) = 1
LCM(7169,7176) = ( 7169 × 7176) / 1
LCM(7169,7176) = 51444744 / 1
LCM(7169,7176) = 51444744

Properties of LCM 7169 and 7176

(i) The LCM of 7176 and 7169 is associative

LCM of 7169 and 7176 = LCM of 7176 and 7169

Related Least Common Multiples of 7169

Related Least Common Multiples of 7176

Frequently Asked Questions on LCM of 7169 and 7176

1. What is the LCM of 7169 and 7176?

Answer: LCM of 7169 and 7176 is 51444744.

2. 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.

3. What are the Factors of 7176?

Answer: Factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176. There are 32 integers that are factors of 7176. The greatest factor of 7176 is 7176.

4. How to Find the LCM of 7169 and 7176?

Answer:

Least Common Multiple of 7169 and 7176 = 51444744

Step 1: Find the prime factorization of 7169

7169 = 67 x 107

Step 2: Find the prime factorization of 7176

7176 = 2 x 2 x 2 x 3 x 13 x 23

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

LCM = 51444744 = 2 x 2 x 2 x 3 x 13 x 23 x 67 x 107

Step 4: Therefore, the least common multiple of 7169 and 7176 is 51444744.