Least Common Multiple of 93 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 93 and 96 the smallest integer that is 2976 that is divisible by both numbers.

Least Common Multiple (LCM) of 93 and 96 is 2976.

LCM(93,96) = 2976

LCM of 93 and 96

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

LCM of:
and

Least Common Multiple of 93 and 96

LCM of 93 and 96 is 2976

Least common multiple can be found by multiplying the highest exponent prime factors of 93 and 96. First we will calculate the prime factors of 93 and 96.

Prime Factorization of 93


3 93
31 31
1

Prime factors of 93 are 3,31. Prime factorization of 93 in exponential form is:

93 = 31×311

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 93 and 96.

LCM(93,96) = 25×31×311
LCM(93,96) = 2976

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 93 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 93 and 96, than apply into the LCM equation.

GCF(93,96) = 3
LCM(93,96) = ( 93 × 96) / 3
LCM(93,96) = 8928 / 3
LCM(93,96) = 2976

Properties of LCM 93 and 96

(i) The LCM of 96 and 93 is associative

LCM of 93 and 96 = LCM of 96 and 93

Related Least Common Multiples of 93

Related Least Common Multiples of 96

Frequently Asked Questions on LCM of 93 and 96

1. What is the LCM of 93 and 96?

Answer: LCM of 93 and 96 is 2976.

2. What are the Factors of 93?

Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.

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 93 and 96?

Answer:

Least Common Multiple of 93 and 96 = 2976

Step 1: Find the prime factorization of 93

93 = 3 x 31

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 = 2976 = 2 x 2 x 2 x 2 x 2 x 3 x 31

Step 4: Therefore, the least common multiple of 93 and 96 is 2976.