Least Common Multiple of 87 and 88

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 88 the smallest integer that is 7656 that is divisible by both numbers.

Least Common Multiple (LCM) of 87 and 88 is 7656.

LCM(87,88) = 7656

LCM of 87 and 88

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

LCM of:
and

Least Common Multiple of 87 and 88

LCM of 87 and 88 is 7656

Least common multiple can be found by multiplying the highest exponent prime factors of 87 and 88. First we will calculate the prime factors of 87 and 88.

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 88


2 88
2 44
2 22
11 11
1

Prime factors of 88 are 2,11. Prime factorization of 88 in exponential form is:

88 = 23×111

Now multiplying the highest exponent prime factors to calculate the LCM of 87 and 88.

LCM(87,88) = 23×31×111×291
LCM(87,88) = 7656

Factors of 87

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

1, 3, 29, 87

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Least Common Multiple of 87 and 88 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 88, than apply into the LCM equation.

GCF(87,88) = 1
LCM(87,88) = ( 87 × 88) / 1
LCM(87,88) = 7656 / 1
LCM(87,88) = 7656

Properties of LCM 87 and 88

(i) The LCM of 88 and 87 is associative

LCM of 87 and 88 = LCM of 88 and 87

Related Least Common Multiples of 87

Related Least Common Multiples of 88

Frequently Asked Questions on LCM of 87 and 88

1. What is the LCM of 87 and 88?

Answer: LCM of 87 and 88 is 7656.

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 88?

Answer: Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. There are 8 integers that are factors of 88. The greatest factor of 88 is 88.

4. How to Find the LCM of 87 and 88?

Answer:

Least Common Multiple of 87 and 88 = 7656

Step 1: Find the prime factorization of 87

87 = 3 x 29

Step 2: Find the prime factorization of 88

88 = 2 x 2 x 2 x 11

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

LCM = 7656 = 2 x 2 x 2 x 3 x 11 x 29

Step 4: Therefore, the least common multiple of 87 and 88 is 7656.