Least Common Multiple of 10169 and 10176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10169 and 10176 the smallest integer that is 103479744 that is divisible by both numbers.

Least Common Multiple (LCM) of 10169 and 10176 is 103479744.

LCM(10169,10176) = 103479744

LCM of 10169 and 10176

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

LCM of:
and

Least Common Multiple of 10169 and 10176

LCM of 10169 and 10176 is 103479744

Least common multiple can be found by multiplying the highest exponent prime factors of 10169 and 10176. First we will calculate the prime factors of 10169 and 10176.

Prime Factorization of 10169


10169 10169
1

Prime factors of 10169 are 10169. Prime factorization of 10169 in exponential form is:

10169 = 101691

Prime Factorization of 10176


2 10176
2 5088
2 2544
2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 10176 are 2, 3,53. Prime factorization of 10176 in exponential form is:

10176 = 26×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 10169 and 10176.

LCM(10169,10176) = 26×31×531×101691
LCM(10169,10176) = 103479744

Factors of 10169

List of positive integer factors of 10169 that divides 10169 without a remainder.

1, 10169

Factors of 10176

List of positive integer factors of 10176 that divides 10176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 159, 192, 212, 318, 424, 636, 848, 1272, 1696, 2544, 3392, 5088, 10176

Least Common Multiple of 10169 and 10176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10169 and 10176, than apply into the LCM equation.

GCF(10169,10176) = 1
LCM(10169,10176) = ( 10169 × 10176) / 1
LCM(10169,10176) = 103479744 / 1
LCM(10169,10176) = 103479744

Properties of LCM 10169 and 10176

(i) The LCM of 10176 and 10169 is associative

LCM of 10169 and 10176 = LCM of 10176 and 10169

Related Least Common Multiples of 10169

Related Least Common Multiples of 10176

Frequently Asked Questions on LCM of 10169 and 10176

1. What is the LCM of 10169 and 10176?

Answer: LCM of 10169 and 10176 is 103479744.

2. What are the Factors of 10169?

Answer: Factors of 10169 are 1, 10169. There are 2 integers that are factors of 10169. The greatest factor of 10169 is 10169.

3. What are the Factors of 10176?

Answer: Factors of 10176 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 159, 192, 212, 318, 424, 636, 848, 1272, 1696, 2544, 3392, 5088, 10176. There are 28 integers that are factors of 10176. The greatest factor of 10176 is 10176.

4. How to Find the LCM of 10169 and 10176?

Answer:

Least Common Multiple of 10169 and 10176 = 103479744

Step 1: Find the prime factorization of 10169

10169 = 10169

Step 2: Find the prime factorization of 10176

10176 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 53

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

LCM = 103479744 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 53 x 10169

Step 4: Therefore, the least common multiple of 10169 and 10176 is 103479744.