Least Common Multiple of 10156 and 10160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10156 and 10160 the smallest integer that is 25796240 that is divisible by both numbers.

Least Common Multiple (LCM) of 10156 and 10160 is 25796240.

LCM(10156,10160) = 25796240

LCM of 10156 and 10160

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

LCM of:
and

Least Common Multiple of 10156 and 10160

LCM of 10156 and 10160 is 25796240

Least common multiple can be found by multiplying the highest exponent prime factors of 10156 and 10160. First we will calculate the prime factors of 10156 and 10160.

Prime Factorization of 10156


2 10156
2 5078
2539 2539
1

Prime factors of 10156 are 2,2539. Prime factorization of 10156 in exponential form is:

10156 = 22×25391

Prime Factorization of 10160


2 10160
2 5080
2 2540
2 1270
5 635
127 127
1

Prime factors of 10160 are 2, 5,127. Prime factorization of 10160 in exponential form is:

10160 = 24×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 10156 and 10160.

LCM(10156,10160) = 24×51×1271×25391
LCM(10156,10160) = 25796240

Factors of 10156

List of positive integer factors of 10156 that divides 10156 without a remainder.

1, 2, 4, 2539, 5078, 10156

Factors of 10160

List of positive integer factors of 10160 that divides 10160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160

Least Common Multiple of 10156 and 10160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10156 and 10160, than apply into the LCM equation.

GCF(10156,10160) = 4
LCM(10156,10160) = ( 10156 × 10160) / 4
LCM(10156,10160) = 103184960 / 4
LCM(10156,10160) = 25796240

Properties of LCM 10156 and 10160

(i) The LCM of 10160 and 10156 is associative

LCM of 10156 and 10160 = LCM of 10160 and 10156

Related Least Common Multiples of 10156

Related Least Common Multiples of 10160

Frequently Asked Questions on LCM of 10156 and 10160

1. What is the LCM of 10156 and 10160?

Answer: LCM of 10156 and 10160 is 25796240.

2. What are the Factors of 10156?

Answer: Factors of 10156 are 1, 2, 4, 2539, 5078, 10156. There are 6 integers that are factors of 10156. The greatest factor of 10156 is 10156.

3. What are the Factors of 10160?

Answer: Factors of 10160 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 127, 254, 508, 635, 1016, 1270, 2032, 2540, 5080, 10160. There are 20 integers that are factors of 10160. The greatest factor of 10160 is 10160.

4. How to Find the LCM of 10156 and 10160?

Answer:

Least Common Multiple of 10156 and 10160 = 25796240

Step 1: Find the prime factorization of 10156

10156 = 2 x 2 x 2539

Step 2: Find the prime factorization of 10160

10160 = 2 x 2 x 2 x 2 x 5 x 127

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

LCM = 25796240 = 2 x 2 x 2 x 2 x 5 x 127 x 2539

Step 4: Therefore, the least common multiple of 10156 and 10160 is 25796240.