Least Common Multiple of 95 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 95 and 96 the smallest integer that is 9120 that is divisible by both numbers.

Least Common Multiple (LCM) of 95 and 96 is 9120.

LCM(95,96) = 9120

LCM of 95 and 96

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

LCM of:
and

Least Common Multiple of 95 and 96

LCM of 95 and 96 is 9120

Least common multiple can be found by multiplying the highest exponent prime factors of 95 and 96. First we will calculate the prime factors of 95 and 96.

Prime Factorization of 95


5 95
19 19
1

Prime factors of 95 are 5,19. Prime factorization of 95 in exponential form is:

95 = 51×191

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 95 and 96.

LCM(95,96) = 25×31×51×191
LCM(95,96) = 9120

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1, 5, 19, 95

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 95 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 95 and 96, than apply into the LCM equation.

GCF(95,96) = 1
LCM(95,96) = ( 95 × 96) / 1
LCM(95,96) = 9120 / 1
LCM(95,96) = 9120

Properties of LCM 95 and 96

(i) The LCM of 96 and 95 is associative

LCM of 95 and 96 = LCM of 96 and 95

Related Least Common Multiples of 95

Related Least Common Multiples of 96

Frequently Asked Questions on LCM of 95 and 96

1. What is the LCM of 95 and 96?

Answer: LCM of 95 and 96 is 9120.

2. What are the Factors of 95?

Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.

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 95 and 96?

Answer:

Least Common Multiple of 95 and 96 = 9120

Step 1: Find the prime factorization of 95

95 = 5 x 19

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 = 9120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19

Step 4: Therefore, the least common multiple of 95 and 96 is 9120.