Least Common Multiple of 92 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 92 and 96 the smallest integer that is 2208 that is divisible by both numbers.

Least Common Multiple (LCM) of 92 and 96 is 2208.

LCM(92,96) = 2208

LCM of 92 and 96

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

LCM of:
and

Least Common Multiple of 92 and 96

LCM of 92 and 96 is 2208

Least common multiple can be found by multiplying the highest exponent prime factors of 92 and 96. First we will calculate the prime factors of 92 and 96.

Prime Factorization of 92


2 92
2 46
23 23
1

Prime factors of 92 are 2,23. Prime factorization of 92 in exponential form is:

92 = 22×231

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 92 and 96.

LCM(92,96) = 25×31×231
LCM(92,96) = 2208

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 92 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 92 and 96, than apply into the LCM equation.

GCF(92,96) = 4
LCM(92,96) = ( 92 × 96) / 4
LCM(92,96) = 8832 / 4
LCM(92,96) = 2208

Properties of LCM 92 and 96

(i) The LCM of 96 and 92 is associative

LCM of 92 and 96 = LCM of 96 and 92

Related Least Common Multiples of 92

Related Least Common Multiples of 96

Frequently Asked Questions on LCM of 92 and 96

1. What is the LCM of 92 and 96?

Answer: LCM of 92 and 96 is 2208.

2. What are the Factors of 92?

Answer: Factors of 92 are 1, 2, 4, 23, 46, 92. There are 6 integers that are factors of 92. The greatest factor of 92 is 92.

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 92 and 96?

Answer:

Least Common Multiple of 92 and 96 = 2208

Step 1: Find the prime factorization of 92

92 = 2 x 2 x 23

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 = 2208 = 2 x 2 x 2 x 2 x 2 x 3 x 23

Step 4: Therefore, the least common multiple of 92 and 96 is 2208.