Least Common Multiple of 83 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 83 and 88 the smallest integer that is 7304 that is divisible by both numbers.

Least Common Multiple (LCM) of 83 and 88 is 7304.

LCM(83,88) = 7304

LCM of 83 and 88

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

LCM of:
and

Least Common Multiple of 83 and 88

LCM of 83 and 88 is 7304

Least common multiple can be found by multiplying the highest exponent prime factors of 83 and 88. First we will calculate the prime factors of 83 and 88.

Prime Factorization of 83


83 83
1

Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:

83 = 831

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 83 and 88.

LCM(83,88) = 23×111×831
LCM(83,88) = 7304

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1, 83

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 83 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 83 and 88, than apply into the LCM equation.

GCF(83,88) = 1
LCM(83,88) = ( 83 × 88) / 1
LCM(83,88) = 7304 / 1
LCM(83,88) = 7304

Properties of LCM 83 and 88

(i) The LCM of 88 and 83 is associative

LCM of 83 and 88 = LCM of 88 and 83

Related Least Common Multiples of 83

Related Least Common Multiples of 88

Frequently Asked Questions on LCM of 83 and 88

1. What is the LCM of 83 and 88?

Answer: LCM of 83 and 88 is 7304.

2. What are the Factors of 83?

Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.

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 83 and 88?

Answer:

Least Common Multiple of 83 and 88 = 7304

Step 1: Find the prime factorization of 83

83 = 83

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 = 7304 = 2 x 2 x 2 x 11 x 83

Step 4: Therefore, the least common multiple of 83 and 88 is 7304.