Least Common Multiple of 40160 and 40164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40160 and 40164 the smallest integer that is 403246560 that is divisible by both numbers.

Least Common Multiple (LCM) of 40160 and 40164 is 403246560.

LCM(40160,40164) = 403246560

LCM of 40160 and 40164

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

LCM of:
and

Least Common Multiple of 40160 and 40164

LCM of 40160 and 40164 is 403246560

Least common multiple can be found by multiplying the highest exponent prime factors of 40160 and 40164. First we will calculate the prime factors of 40160 and 40164.

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

Prime Factorization of 40164


2 40164
2 20082
3 10041
3347 3347
1

Prime factors of 40164 are 2, 3,3347. Prime factorization of 40164 in exponential form is:

40164 = 22×31×33471

Now multiplying the highest exponent prime factors to calculate the LCM of 40160 and 40164.

LCM(40160,40164) = 25×31×51×2511×33471
LCM(40160,40164) = 403246560

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

Factors of 40164

List of positive integer factors of 40164 that divides 40164 without a remainder.

1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082, 40164

Least Common Multiple of 40160 and 40164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40160 and 40164, than apply into the LCM equation.

GCF(40160,40164) = 4
LCM(40160,40164) = ( 40160 × 40164) / 4
LCM(40160,40164) = 1612986240 / 4
LCM(40160,40164) = 403246560

Properties of LCM 40160 and 40164

(i) The LCM of 40164 and 40160 is associative

LCM of 40160 and 40164 = LCM of 40164 and 40160

Related Least Common Multiples of 40160

Related Least Common Multiples of 40164

Frequently Asked Questions on LCM of 40160 and 40164

1. What is the LCM of 40160 and 40164?

Answer: LCM of 40160 and 40164 is 403246560.

2. 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.

3. What are the Factors of 40164?

Answer: Factors of 40164 are 1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082, 40164. There are 12 integers that are factors of 40164. The greatest factor of 40164 is 40164.

4. How to Find the LCM of 40160 and 40164?

Answer:

Least Common Multiple of 40160 and 40164 = 403246560

Step 1: Find the prime factorization of 40160

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

Step 2: Find the prime factorization of 40164

40164 = 2 x 2 x 3 x 3347

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

LCM = 403246560 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 251 x 3347

Step 4: Therefore, the least common multiple of 40160 and 40164 is 403246560.