Least Common Multiple of 96 and 104

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 104 the smallest integer that is 1248 that is divisible by both numbers.

Least Common Multiple (LCM) of 96 and 104 is 1248.

LCM(96,104) = 1248

LCM of 96 and 104

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

LCM of:
and

Least Common Multiple of 96 and 104

LCM of 96 and 104 is 1248

Least common multiple can be found by multiplying the highest exponent prime factors of 96 and 104. First we will calculate the prime factors of 96 and 104.

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 104


2 104
2 52
2 26
13 13
1

Prime factors of 104 are 2,13. Prime factorization of 104 in exponential form is:

104 = 23×131

Now multiplying the highest exponent prime factors to calculate the LCM of 96 and 104.

LCM(96,104) = 25×31×131
LCM(96,104) = 1248

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 104

List of positive integer factors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Least Common Multiple of 96 and 104 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 104, than apply into the LCM equation.

GCF(96,104) = 8
LCM(96,104) = ( 96 × 104) / 8
LCM(96,104) = 9984 / 8
LCM(96,104) = 1248

Properties of LCM 96 and 104

(i) The LCM of 104 and 96 is associative

LCM of 96 and 104 = LCM of 104 and 96

Related Least Common Multiples of 96

Related Least Common Multiples of 104

Frequently Asked Questions on LCM of 96 and 104

1. What is the LCM of 96 and 104?

Answer: LCM of 96 and 104 is 1248.

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 104?

Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.

4. How to Find the LCM of 96 and 104?

Answer:

Least Common Multiple of 96 and 104 = 1248

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 104

104 = 2 x 2 x 2 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 = 1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 4: Therefore, the least common multiple of 96 and 104 is 1248.