Least Common Multiple of 4087 and 4094

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 4094 the smallest integer that is 16732178 that is divisible by both numbers.

Least Common Multiple (LCM) of 4087 and 4094 is 16732178.

LCM(4087,4094) = 16732178

LCM of 4087 and 4094

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

LCM of:
and

Least Common Multiple of 4087 and 4094

LCM of 4087 and 4094 is 16732178

Least common multiple can be found by multiplying the highest exponent prime factors of 4087 and 4094. First we will calculate the prime factors of 4087 and 4094.

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 4094


2 4094
23 2047
89 89
1

Prime factors of 4094 are 2, 23,89. Prime factorization of 4094 in exponential form is:

4094 = 21×231×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4087 and 4094.

LCM(4087,4094) = 21×231×611×671×891
LCM(4087,4094) = 16732178

Factors of 4087

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

1, 61, 67, 4087

Factors of 4094

List of positive integer factors of 4094 that divides 4094 without a remainder.

1, 2, 23, 46, 89, 178, 2047, 4094

Least Common Multiple of 4087 and 4094 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 4094, than apply into the LCM equation.

GCF(4087,4094) = 1
LCM(4087,4094) = ( 4087 × 4094) / 1
LCM(4087,4094) = 16732178 / 1
LCM(4087,4094) = 16732178

Properties of LCM 4087 and 4094

(i) The LCM of 4094 and 4087 is associative

LCM of 4087 and 4094 = LCM of 4094 and 4087

Related Least Common Multiples of 4087

Related Least Common Multiples of 4094

Frequently Asked Questions on LCM of 4087 and 4094

1. What is the LCM of 4087 and 4094?

Answer: LCM of 4087 and 4094 is 16732178.

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 4094?

Answer: Factors of 4094 are 1, 2, 23, 46, 89, 178, 2047, 4094. There are 8 integers that are factors of 4094. The greatest factor of 4094 is 4094.

4. How to Find the LCM of 4087 and 4094?

Answer:

Least Common Multiple of 4087 and 4094 = 16732178

Step 1: Find the prime factorization of 4087

4087 = 61 x 67

Step 2: Find the prime factorization of 4094

4094 = 2 x 23 x 89

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

LCM = 16732178 = 2 x 23 x 61 x 67 x 89

Step 4: Therefore, the least common multiple of 4087 and 4094 is 16732178.