Least Common Multiple of 86 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 86 and 88 the smallest integer that is 3784 that is divisible by both numbers.

Least Common Multiple (LCM) of 86 and 88 is 3784.

LCM(86,88) = 3784

LCM of 86 and 88

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

LCM of:
and

Least Common Multiple of 86 and 88

LCM of 86 and 88 is 3784

Least common multiple can be found by multiplying the highest exponent prime factors of 86 and 88. First we will calculate the prime factors of 86 and 88.

Prime Factorization of 86


2 86
43 43
1

Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:

86 = 21×431

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 86 and 88.

LCM(86,88) = 23×111×431
LCM(86,88) = 3784

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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 86 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 86 and 88, than apply into the LCM equation.

GCF(86,88) = 2
LCM(86,88) = ( 86 × 88) / 2
LCM(86,88) = 7568 / 2
LCM(86,88) = 3784

Properties of LCM 86 and 88

(i) The LCM of 88 and 86 is associative

LCM of 86 and 88 = LCM of 88 and 86

Related Least Common Multiples of 86

Related Least Common Multiples of 88

Frequently Asked Questions on LCM of 86 and 88

1. What is the LCM of 86 and 88?

Answer: LCM of 86 and 88 is 3784.

2. What are the Factors of 86?

Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.

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 86 and 88?

Answer:

Least Common Multiple of 86 and 88 = 3784

Step 1: Find the prime factorization of 86

86 = 2 x 43

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 = 3784 = 2 x 2 x 2 x 11 x 43

Step 4: Therefore, the least common multiple of 86 and 88 is 3784.