Least Common Multiple of 4080 and 4088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4080 and 4088 the smallest integer that is 2084880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4080 and 4088 is 2084880.

LCM(4080,4088) = 2084880

LCM of 4080 and 4088

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

LCM of:
and

Least Common Multiple of 4080 and 4088

LCM of 4080 and 4088 is 2084880

Least common multiple can be found by multiplying the highest exponent prime factors of 4080 and 4088. First we will calculate the prime factors of 4080 and 4088.

Prime Factorization of 4080


2 4080
2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 4080 are 2, 3, 5,17. Prime factorization of 4080 in exponential form is:

4080 = 24×31×51×171

Prime Factorization of 4088


2 4088
2 2044
2 1022
7 511
73 73
1

Prime factors of 4088 are 2, 7,73. Prime factorization of 4088 in exponential form is:

4088 = 23×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4080 and 4088.

LCM(4080,4088) = 24×31×51×71×171×731
LCM(4080,4088) = 2084880

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080

Factors of 4088

List of positive integer factors of 4088 that divides 4088 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088

Least Common Multiple of 4080 and 4088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4080 and 4088, than apply into the LCM equation.

GCF(4080,4088) = 8
LCM(4080,4088) = ( 4080 × 4088) / 8
LCM(4080,4088) = 16679040 / 8
LCM(4080,4088) = 2084880

Properties of LCM 4080 and 4088

(i) The LCM of 4088 and 4080 is associative

LCM of 4080 and 4088 = LCM of 4088 and 4080

Related Least Common Multiples of 4080

Related Least Common Multiples of 4088

Frequently Asked Questions on LCM of 4080 and 4088

1. What is the LCM of 4080 and 4088?

Answer: LCM of 4080 and 4088 is 2084880.

2. What are the Factors of 4080?

Answer: Factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080. There are 40 integers that are factors of 4080. The greatest factor of 4080 is 4080.

3. What are the Factors of 4088?

Answer: Factors of 4088 are 1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088. There are 16 integers that are factors of 4088. The greatest factor of 4088 is 4088.

4. How to Find the LCM of 4080 and 4088?

Answer:

Least Common Multiple of 4080 and 4088 = 2084880

Step 1: Find the prime factorization of 4080

4080 = 2 x 2 x 2 x 2 x 3 x 5 x 17

Step 2: Find the prime factorization of 4088

4088 = 2 x 2 x 2 x 7 x 73

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

LCM = 2084880 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 73

Step 4: Therefore, the least common multiple of 4080 and 4088 is 2084880.