Least Common Multiple of 96 and 113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 96 and 113 the smallest integer that is 10848 that is divisible by both numbers.

Least Common Multiple (LCM) of 96 and 113 is 10848.

LCM(96,113) = 10848

LCM of 96 and 113

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

LCM of:
and

Least Common Multiple of 96 and 113

LCM of 96 and 113 is 10848

Least common multiple can be found by multiplying the highest exponent prime factors of 96 and 113. First we will calculate the prime factors of 96 and 113.

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

Prime Factorization of 113


113 113
1

Prime factors of 113 are 113. Prime factorization of 113 in exponential form is:

113 = 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 96 and 113.

LCM(96,113) = 25×31×1131
LCM(96,113) = 10848

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

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1, 113

Least Common Multiple of 96 and 113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96 and 113, than apply into the LCM equation.

GCF(96,113) = 1
LCM(96,113) = ( 96 × 113) / 1
LCM(96,113) = 10848 / 1
LCM(96,113) = 10848

Properties of LCM 96 and 113

(i) The LCM of 113 and 96 is associative

LCM of 96 and 113 = LCM of 113 and 96

Related Least Common Multiples of 96

Related Least Common Multiples of 113

Frequently Asked Questions on LCM of 96 and 113

1. What is the LCM of 96 and 113?

Answer: LCM of 96 and 113 is 10848.

2. 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.

3. What are the Factors of 113?

Answer: Factors of 113 are 1, 113. There are 2 integers that are factors of 113. The greatest factor of 113 is 113.

4. How to Find the LCM of 96 and 113?

Answer:

Least Common Multiple of 96 and 113 = 10848

Step 1: Find the prime factorization of 96

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

Step 2: Find the prime factorization of 113

113 = 113

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

LCM = 10848 = 2 x 2 x 2 x 2 x 2 x 3 x 113

Step 4: Therefore, the least common multiple of 96 and 113 is 10848.