Least Common Multiple of 78 and 86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 78 and 86 the smallest integer that is 3354 that is divisible by both numbers.

Least Common Multiple (LCM) of 78 and 86 is 3354.

LCM(78,86) = 3354

LCM of 78 and 86

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

LCM of:
and

Least Common Multiple of 78 and 86

LCM of 78 and 86 is 3354

Least common multiple can be found by multiplying the highest exponent prime factors of 78 and 86. First we will calculate the prime factors of 78 and 86.

Prime Factorization of 78


2 78
3 39
13 13
1

Prime factors of 78 are 2, 3,13. Prime factorization of 78 in exponential form is:

78 = 21×31×131

Prime Factorization of 86


2 86
43 43
1

Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:

86 = 21×431

Now multiplying the highest exponent prime factors to calculate the LCM of 78 and 86.

LCM(78,86) = 21×31×131×431
LCM(78,86) = 3354

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Least Common Multiple of 78 and 86 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78 and 86, than apply into the LCM equation.

GCF(78,86) = 2
LCM(78,86) = ( 78 × 86) / 2
LCM(78,86) = 6708 / 2
LCM(78,86) = 3354

Properties of LCM 78 and 86

(i) The LCM of 86 and 78 is associative

LCM of 78 and 86 = LCM of 86 and 78

Related Least Common Multiples of 78

Related Least Common Multiples of 86

Frequently Asked Questions on LCM of 78 and 86

1. What is the LCM of 78 and 86?

Answer: LCM of 78 and 86 is 3354.

2. What are the Factors of 78?

Answer: Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78. There are 8 integers that are factors of 78. The greatest factor of 78 is 78.

3. What are the Factors of 86?

Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.

4. How to Find the LCM of 78 and 86?

Answer:

Least Common Multiple of 78 and 86 = 3354

Step 1: Find the prime factorization of 78

78 = 2 x 3 x 13

Step 2: Find the prime factorization of 86

86 = 2 x 43

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

LCM = 3354 = 2 x 3 x 13 x 43

Step 4: Therefore, the least common multiple of 78 and 86 is 3354.