Least Common Multiple of 10170 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 10170 and 10176 the smallest integer that is 17248320 that is divisible by both numbers.

Least Common Multiple (LCM) of 10170 and 10176 is 17248320.

LCM(10170,10176) = 17248320

LCM of 10170 and 10176

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

LCM of:
and

Least Common Multiple of 10170 and 10176

LCM of 10170 and 10176 is 17248320

Least common multiple can be found by multiplying the highest exponent prime factors of 10170 and 10176. First we will calculate the prime factors of 10170 and 10176.

Prime Factorization of 10170


2 10170
3 5085
3 1695
5 565
113 113
1

Prime factors of 10170 are 2, 3, 5,113. Prime factorization of 10170 in exponential form is:

10170 = 21×32×51×1131

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 10170 and 10176.

LCM(10170,10176) = 26×32×51×531×1131
LCM(10170,10176) = 17248320

Factors of 10170

List of positive integer factors of 10170 that divides 10170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085, 10170

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 10170 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 10170 and 10176, than apply into the LCM equation.

GCF(10170,10176) = 6
LCM(10170,10176) = ( 10170 × 10176) / 6
LCM(10170,10176) = 103489920 / 6
LCM(10170,10176) = 17248320

Properties of LCM 10170 and 10176

(i) The LCM of 10176 and 10170 is associative

LCM of 10170 and 10176 = LCM of 10176 and 10170

Related Least Common Multiples of 10170

Related Least Common Multiples of 10176

Frequently Asked Questions on LCM of 10170 and 10176

1. What is the LCM of 10170 and 10176?

Answer: LCM of 10170 and 10176 is 17248320.

2. What are the Factors of 10170?

Answer: Factors of 10170 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 113, 226, 339, 565, 678, 1017, 1130, 1695, 2034, 3390, 5085, 10170. There are 24 integers that are factors of 10170. The greatest factor of 10170 is 10170.

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 10170 and 10176?

Answer:

Least Common Multiple of 10170 and 10176 = 17248320

Step 1: Find the prime factorization of 10170

10170 = 2 x 3 x 3 x 5 x 113

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 = 17248320 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 53 x 113

Step 4: Therefore, the least common multiple of 10170 and 10176 is 17248320.