Least Common Multiple of 40164 and 40168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40164 and 40168 the smallest integer that is 403326888 that is divisible by both numbers.

Least Common Multiple (LCM) of 40164 and 40168 is 403326888.

LCM(40164,40168) = 403326888

LCM of 40164 and 40168

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

LCM of:
and

Least Common Multiple of 40164 and 40168

LCM of 40164 and 40168 is 403326888

Least common multiple can be found by multiplying the highest exponent prime factors of 40164 and 40168. First we will calculate the prime factors of 40164 and 40168.

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

Prime Factorization of 40168


2 40168
2 20084
2 10042
5021 5021
1

Prime factors of 40168 are 2,5021. Prime factorization of 40168 in exponential form is:

40168 = 23×50211

Now multiplying the highest exponent prime factors to calculate the LCM of 40164 and 40168.

LCM(40164,40168) = 23×31×33471×50211
LCM(40164,40168) = 403326888

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

Factors of 40168

List of positive integer factors of 40168 that divides 40168 without a remainder.

1, 2, 4, 8, 5021, 10042, 20084, 40168

Least Common Multiple of 40164 and 40168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40164 and 40168, than apply into the LCM equation.

GCF(40164,40168) = 4
LCM(40164,40168) = ( 40164 × 40168) / 4
LCM(40164,40168) = 1613307552 / 4
LCM(40164,40168) = 403326888

Properties of LCM 40164 and 40168

(i) The LCM of 40168 and 40164 is associative

LCM of 40164 and 40168 = LCM of 40168 and 40164

Related Least Common Multiples of 40164

Related Least Common Multiples of 40168

Frequently Asked Questions on LCM of 40164 and 40168

1. What is the LCM of 40164 and 40168?

Answer: LCM of 40164 and 40168 is 403326888.

2. 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.

3. What are the Factors of 40168?

Answer: Factors of 40168 are 1, 2, 4, 8, 5021, 10042, 20084, 40168. There are 8 integers that are factors of 40168. The greatest factor of 40168 is 40168.

4. How to Find the LCM of 40164 and 40168?

Answer:

Least Common Multiple of 40164 and 40168 = 403326888

Step 1: Find the prime factorization of 40164

40164 = 2 x 2 x 3 x 3347

Step 2: Find the prime factorization of 40168

40168 = 2 x 2 x 2 x 5021

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

LCM = 403326888 = 2 x 2 x 2 x 3 x 3347 x 5021

Step 4: Therefore, the least common multiple of 40164 and 40168 is 403326888.