Least Common Multiple of 85 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 85 and 92 the smallest integer that is 7820 that is divisible by both numbers.

Least Common Multiple (LCM) of 85 and 92 is 7820.

LCM(85,92) = 7820

LCM of 85 and 92

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

LCM of:
and

Least Common Multiple of 85 and 92

LCM of 85 and 92 is 7820

Least common multiple can be found by multiplying the highest exponent prime factors of 85 and 92. First we will calculate the prime factors of 85 and 92.

Prime Factorization of 85


5 85
17 17
1

Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:

85 = 51×171

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 85 and 92.

LCM(85,92) = 22×51×171×231
LCM(85,92) = 7820

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 85 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 85 and 92, than apply into the LCM equation.

GCF(85,92) = 1
LCM(85,92) = ( 85 × 92) / 1
LCM(85,92) = 7820 / 1
LCM(85,92) = 7820

Properties of LCM 85 and 92

(i) The LCM of 92 and 85 is associative

LCM of 85 and 92 = LCM of 92 and 85

Related Least Common Multiples of 85

Related Least Common Multiples of 92

Frequently Asked Questions on LCM of 85 and 92

1. What is the LCM of 85 and 92?

Answer: LCM of 85 and 92 is 7820.

2. What are the Factors of 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

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 85 and 92?

Answer:

Least Common Multiple of 85 and 92 = 7820

Step 1: Find the prime factorization of 85

85 = 5 x 17

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 = 7820 = 2 x 2 x 5 x 17 x 23

Step 4: Therefore, the least common multiple of 85 and 92 is 7820.