Least Common Multiple of 40156 and 40160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40156 and 40160 the smallest integer that is 403166240 that is divisible by both numbers.

Least Common Multiple (LCM) of 40156 and 40160 is 403166240.

LCM(40156,40160) = 403166240

LCM of 40156 and 40160

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

LCM of:
and

Least Common Multiple of 40156 and 40160

LCM of 40156 and 40160 is 403166240

Least common multiple can be found by multiplying the highest exponent prime factors of 40156 and 40160. First we will calculate the prime factors of 40156 and 40160.

Prime Factorization of 40156


2 40156
2 20078
10039 10039
1

Prime factors of 40156 are 2,10039. Prime factorization of 40156 in exponential form is:

40156 = 22×100391

Prime Factorization of 40160


2 40160
2 20080
2 10040
2 5020
2 2510
5 1255
251 251
1

Prime factors of 40160 are 2, 5,251. Prime factorization of 40160 in exponential form is:

40160 = 25×51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 40156 and 40160.

LCM(40156,40160) = 25×51×2511×100391
LCM(40156,40160) = 403166240

Factors of 40156

List of positive integer factors of 40156 that divides 40156 without a remainder.

1, 2, 4, 10039, 20078, 40156

Factors of 40160

List of positive integer factors of 40160 that divides 40160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 20080, 40160

Least Common Multiple of 40156 and 40160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40156 and 40160, than apply into the LCM equation.

GCF(40156,40160) = 4
LCM(40156,40160) = ( 40156 × 40160) / 4
LCM(40156,40160) = 1612664960 / 4
LCM(40156,40160) = 403166240

Properties of LCM 40156 and 40160

(i) The LCM of 40160 and 40156 is associative

LCM of 40156 and 40160 = LCM of 40160 and 40156

Related Least Common Multiples of 40156

Related Least Common Multiples of 40160

Frequently Asked Questions on LCM of 40156 and 40160

1. What is the LCM of 40156 and 40160?

Answer: LCM of 40156 and 40160 is 403166240.

2. What are the Factors of 40156?

Answer: Factors of 40156 are 1, 2, 4, 10039, 20078, 40156. There are 6 integers that are factors of 40156. The greatest factor of 40156 is 40156.

3. What are the Factors of 40160?

Answer: Factors of 40160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 20080, 40160. There are 24 integers that are factors of 40160. The greatest factor of 40160 is 40160.

4. How to Find the LCM of 40156 and 40160?

Answer:

Least Common Multiple of 40156 and 40160 = 403166240

Step 1: Find the prime factorization of 40156

40156 = 2 x 2 x 10039

Step 2: Find the prime factorization of 40160

40160 = 2 x 2 x 2 x 2 x 2 x 5 x 251

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

LCM = 403166240 = 2 x 2 x 2 x 2 x 2 x 5 x 251 x 10039

Step 4: Therefore, the least common multiple of 40156 and 40160 is 403166240.