Least Common Multiple of 87 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 87 and 92 the smallest integer that is 8004 that is divisible by both numbers.

Least Common Multiple (LCM) of 87 and 92 is 8004.

LCM(87,92) = 8004

LCM of 87 and 92

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

LCM of:
and

Least Common Multiple of 87 and 92

LCM of 87 and 92 is 8004

Least common multiple can be found by multiplying the highest exponent prime factors of 87 and 92. First we will calculate the prime factors of 87 and 92.

Prime Factorization of 87


3 87
29 29
1

Prime factors of 87 are 3,29. Prime factorization of 87 in exponential form is:

87 = 31×291

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 87 and 92.

LCM(87,92) = 22×31×231×291
LCM(87,92) = 8004

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 87 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 87 and 92, than apply into the LCM equation.

GCF(87,92) = 1
LCM(87,92) = ( 87 × 92) / 1
LCM(87,92) = 8004 / 1
LCM(87,92) = 8004

Properties of LCM 87 and 92

(i) The LCM of 92 and 87 is associative

LCM of 87 and 92 = LCM of 92 and 87

Related Least Common Multiples of 87

Related Least Common Multiples of 92

Frequently Asked Questions on LCM of 87 and 92

1. What is the LCM of 87 and 92?

Answer: LCM of 87 and 92 is 8004.

2. What are the Factors of 87?

Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.

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 87 and 92?

Answer:

Least Common Multiple of 87 and 92 = 8004

Step 1: Find the prime factorization of 87

87 = 3 x 29

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 = 8004 = 2 x 2 x 3 x 23 x 29

Step 4: Therefore, the least common multiple of 87 and 92 is 8004.