Least Common Multiple of 4087 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 4087 and 4092 the smallest integer that is 16724004 that is divisible by both numbers.

Least Common Multiple (LCM) of 4087 and 4092 is 16724004.

LCM(4087,4092) = 16724004

LCM of 4087 and 4092

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

LCM of:
and

Least Common Multiple of 4087 and 4092

LCM of 4087 and 4092 is 16724004

Least common multiple can be found by multiplying the highest exponent prime factors of 4087 and 4092. First we will calculate the prime factors of 4087 and 4092.

Prime Factorization of 4087


61 4087
67 67
1

Prime factors of 4087 are 61,67. Prime factorization of 4087 in exponential form is:

4087 = 611×671

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 4087 and 4092.

LCM(4087,4092) = 22×31×111×311×611×671
LCM(4087,4092) = 16724004

Factors of 4087

List of positive integer factors of 4087 that divides 4087 without a remainder.

1, 61, 67, 4087

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 4087 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 4087 and 4092, than apply into the LCM equation.

GCF(4087,4092) = 1
LCM(4087,4092) = ( 4087 × 4092) / 1
LCM(4087,4092) = 16724004 / 1
LCM(4087,4092) = 16724004

Properties of LCM 4087 and 4092

(i) The LCM of 4092 and 4087 is associative

LCM of 4087 and 4092 = LCM of 4092 and 4087

Related Least Common Multiples of 4087

Related Least Common Multiples of 4092

Frequently Asked Questions on LCM of 4087 and 4092

1. What is the LCM of 4087 and 4092?

Answer: LCM of 4087 and 4092 is 16724004.

2. What are the Factors of 4087?

Answer: Factors of 4087 are 1, 61, 67, 4087. There are 4 integers that are factors of 4087. The greatest factor of 4087 is 4087.

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 4087 and 4092?

Answer:

Least Common Multiple of 4087 and 4092 = 16724004

Step 1: Find the prime factorization of 4087

4087 = 61 x 67

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 = 16724004 = 2 x 2 x 3 x 11 x 31 x 61 x 67

Step 4: Therefore, the least common multiple of 4087 and 4092 is 16724004.