Least Common Multiple of 91 and 96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 91 and 96 the smallest integer that is 8736 that is divisible by both numbers.

Least Common Multiple (LCM) of 91 and 96 is 8736.

LCM(91,96) = 8736

LCM of 91 and 96

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

LCM of:
and

Least Common Multiple of 91 and 96

LCM of 91 and 96 is 8736

Least common multiple can be found by multiplying the highest exponent prime factors of 91 and 96. First we will calculate the prime factors of 91 and 96.

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

Prime Factorization of 96


2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 96 are 2,3. Prime factorization of 96 in exponential form is:

96 = 25×31

Now multiplying the highest exponent prime factors to calculate the LCM of 91 and 96.

LCM(91,96) = 25×31×71×131
LCM(91,96) = 8736

Factors of 91

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

1, 7, 13, 91

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Least Common Multiple of 91 and 96 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91 and 96, than apply into the LCM equation.

GCF(91,96) = 1
LCM(91,96) = ( 91 × 96) / 1
LCM(91,96) = 8736 / 1
LCM(91,96) = 8736

Properties of LCM 91 and 96

(i) The LCM of 96 and 91 is associative

LCM of 91 and 96 = LCM of 96 and 91

Related Least Common Multiples of 91

Related Least Common Multiples of 96

Frequently Asked Questions on LCM of 91 and 96

1. What is the LCM of 91 and 96?

Answer: LCM of 91 and 96 is 8736.

2. 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.

3. What are the Factors of 96?

Answer: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. There are 12 integers that are factors of 96. The greatest factor of 96 is 96.

4. How to Find the LCM of 91 and 96?

Answer:

Least Common Multiple of 91 and 96 = 8736

Step 1: Find the prime factorization of 91

91 = 7 x 13

Step 2: Find the prime factorization of 96

96 = 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 8736 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13

Step 4: Therefore, the least common multiple of 91 and 96 is 8736.