Least Common Multiple of 4088 and 4092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4088 and 4092 the smallest integer that is 4182024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4088 and 4092 is 4182024.

LCM(4088,4092) = 4182024

LCM of 4088 and 4092

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

LCM of:
and

Least Common Multiple of 4088 and 4092

LCM of 4088 and 4092 is 4182024

Least common multiple can be found by multiplying the highest exponent prime factors of 4088 and 4092. First we will calculate the prime factors of 4088 and 4092.

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

Prime Factorization of 4092


2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 4092 are 2, 3, 11,31. Prime factorization of 4092 in exponential form is:

4092 = 22×31×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4088 and 4092.

LCM(4088,4092) = 23×31×71×111×311×731
LCM(4088,4092) = 4182024

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

Factors of 4092

List of positive integer factors of 4092 that divides 4092 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092

Least Common Multiple of 4088 and 4092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4088 and 4092, than apply into the LCM equation.

GCF(4088,4092) = 4
LCM(4088,4092) = ( 4088 × 4092) / 4
LCM(4088,4092) = 16728096 / 4
LCM(4088,4092) = 4182024

Properties of LCM 4088 and 4092

(i) The LCM of 4092 and 4088 is associative

LCM of 4088 and 4092 = LCM of 4092 and 4088

Related Least Common Multiples of 4088

Related Least Common Multiples of 4092

Frequently Asked Questions on LCM of 4088 and 4092

1. What is the LCM of 4088 and 4092?

Answer: LCM of 4088 and 4092 is 4182024.

2. 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.

3. What are the Factors of 4092?

Answer: Factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092. There are 24 integers that are factors of 4092. The greatest factor of 4092 is 4092.

4. How to Find the LCM of 4088 and 4092?

Answer:

Least Common Multiple of 4088 and 4092 = 4182024

Step 1: Find the prime factorization of 4088

4088 = 2 x 2 x 2 x 7 x 73

Step 2: Find the prime factorization of 4092

4092 = 2 x 2 x 3 x 11 x 31

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

LCM = 4182024 = 2 x 2 x 2 x 3 x 7 x 11 x 31 x 73

Step 4: Therefore, the least common multiple of 4088 and 4092 is 4182024.