Least Common Multiple of 88 and 91

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 88 and 91 the smallest integer that is 8008 that is divisible by both numbers.

Least Common Multiple (LCM) of 88 and 91 is 8008.

LCM(88,91) = 8008

LCM of 88 and 91

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

LCM of:
and

Least Common Multiple of 88 and 91

LCM of 88 and 91 is 8008

Least common multiple can be found by multiplying the highest exponent prime factors of 88 and 91. First we will calculate the prime factors of 88 and 91.

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

Prime Factorization of 91


7 91
13 13
1

Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:

91 = 71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 88 and 91.

LCM(88,91) = 23×71×111×131
LCM(88,91) = 8008

Factors of 88

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

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

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Least Common Multiple of 88 and 91 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88 and 91, than apply into the LCM equation.

GCF(88,91) = 1
LCM(88,91) = ( 88 × 91) / 1
LCM(88,91) = 8008 / 1
LCM(88,91) = 8008

Properties of LCM 88 and 91

(i) The LCM of 91 and 88 is associative

LCM of 88 and 91 = LCM of 91 and 88

Related Least Common Multiples of 88

Related Least Common Multiples of 91

Frequently Asked Questions on LCM of 88 and 91

1. What is the LCM of 88 and 91?

Answer: LCM of 88 and 91 is 8008.

2. 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.

3. What are the Factors of 91?

Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.

4. How to Find the LCM of 88 and 91?

Answer:

Least Common Multiple of 88 and 91 = 8008

Step 1: Find the prime factorization of 88

88 = 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 91

91 = 7 x 13

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

LCM = 8008 = 2 x 2 x 2 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 88 and 91 is 8008.