Least Common Multiple of 87 and 95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 87 and 95 the smallest integer that is 8265 that is divisible by both numbers.

Least Common Multiple (LCM) of 87 and 95 is 8265.

LCM(87,95) = 8265

LCM of 87 and 95

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

LCM of:
and

Least Common Multiple of 87 and 95

LCM of 87 and 95 is 8265

Least common multiple can be found by multiplying the highest exponent prime factors of 87 and 95. First we will calculate the prime factors of 87 and 95.

Prime Factorization of 87


3 87
29 29
1

Prime factors of 87 are 3,29. Prime factorization of 87 in exponential form is:

87 = 31×291

Prime Factorization of 95


5 95
19 19
1

Prime factors of 95 are 5,19. Prime factorization of 95 in exponential form is:

95 = 51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 87 and 95.

LCM(87,95) = 31×51×191×291
LCM(87,95) = 8265

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Least Common Multiple of 87 and 95 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87 and 95, than apply into the LCM equation.

GCF(87,95) = 1
LCM(87,95) = ( 87 × 95) / 1
LCM(87,95) = 8265 / 1
LCM(87,95) = 8265

Properties of LCM 87 and 95

(i) The LCM of 95 and 87 is associative

LCM of 87 and 95 = LCM of 95 and 87

Related Least Common Multiples of 87

Related Least Common Multiples of 95

Frequently Asked Questions on LCM of 87 and 95

1. What is the LCM of 87 and 95?

Answer: LCM of 87 and 95 is 8265.

2. What are the Factors of 87?

Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.

3. What are the Factors of 95?

Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.

4. How to Find the LCM of 87 and 95?

Answer:

Least Common Multiple of 87 and 95 = 8265

Step 1: Find the prime factorization of 87

87 = 3 x 29

Step 2: Find the prime factorization of 95

95 = 5 x 19

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

LCM = 8265 = 3 x 5 x 19 x 29

Step 4: Therefore, the least common multiple of 87 and 95 is 8265.