Least Common Multiple of 85 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 85 and 88 the smallest integer that is 7480 that is divisible by both numbers.

Least Common Multiple (LCM) of 85 and 88 is 7480.

LCM(85,88) = 7480

LCM of 85 and 88

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

LCM of:
and

Least Common Multiple of 85 and 88

LCM of 85 and 88 is 7480

Least common multiple can be found by multiplying the highest exponent prime factors of 85 and 88. First we will calculate the prime factors of 85 and 88.

Prime Factorization of 85


5 85
17 17
1

Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:

85 = 51×171

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 85 and 88.

LCM(85,88) = 23×51×111×171
LCM(85,88) = 7480

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 85 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 85 and 88, than apply into the LCM equation.

GCF(85,88) = 1
LCM(85,88) = ( 85 × 88) / 1
LCM(85,88) = 7480 / 1
LCM(85,88) = 7480

Properties of LCM 85 and 88

(i) The LCM of 88 and 85 is associative

LCM of 85 and 88 = LCM of 88 and 85

Related Least Common Multiples of 85

Related Least Common Multiples of 88

Frequently Asked Questions on LCM of 85 and 88

1. What is the LCM of 85 and 88?

Answer: LCM of 85 and 88 is 7480.

2. What are the Factors of 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

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 85 and 88?

Answer:

Least Common Multiple of 85 and 88 = 7480

Step 1: Find the prime factorization of 85

85 = 5 x 17

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 = 7480 = 2 x 2 x 2 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 85 and 88 is 7480.