Least Common Multiple of 84 and 92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 84 and 92 the smallest integer that is 1932 that is divisible by both numbers.

Least Common Multiple (LCM) of 84 and 92 is 1932.

LCM(84,92) = 1932

LCM of 84 and 92

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

LCM of:
and

Least Common Multiple of 84 and 92

LCM of 84 and 92 is 1932

Least common multiple can be found by multiplying the highest exponent prime factors of 84 and 92. First we will calculate the prime factors of 84 and 92.

Prime Factorization of 84


2 84
2 42
3 21
7 7
1

Prime factors of 84 are 2, 3,7. Prime factorization of 84 in exponential form is:

84 = 22×31×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 84 and 92.

LCM(84,92) = 22×31×71×231
LCM(84,92) = 1932

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Factors of 92

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

1, 2, 4, 23, 46, 92

Least Common Multiple of 84 and 92 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84 and 92, than apply into the LCM equation.

GCF(84,92) = 4
LCM(84,92) = ( 84 × 92) / 4
LCM(84,92) = 7728 / 4
LCM(84,92) = 1932

Properties of LCM 84 and 92

(i) The LCM of 92 and 84 is associative

LCM of 84 and 92 = LCM of 92 and 84

Related Least Common Multiples of 84

Related Least Common Multiples of 92

Frequently Asked Questions on LCM of 84 and 92

1. What is the LCM of 84 and 92?

Answer: LCM of 84 and 92 is 1932.

2. What are the Factors of 84?

Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.

3. 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.

4. How to Find the LCM of 84 and 92?

Answer:

Least Common Multiple of 84 and 92 = 1932

Step 1: Find the prime factorization of 84

84 = 2 x 2 x 3 x 7

Step 2: Find the prime factorization of 92

92 = 2 x 2 x 23

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

LCM = 1932 = 2 x 2 x 3 x 7 x 23

Step 4: Therefore, the least common multiple of 84 and 92 is 1932.