Least Common Multiple of 68 and 71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 68 and 71 the smallest integer that is 4828 that is divisible by both numbers.

Least Common Multiple (LCM) of 68 and 71 is 4828.

LCM(68,71) = 4828

LCM of 68 and 71

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

LCM of:
and

Least Common Multiple of 68 and 71

LCM of 68 and 71 is 4828

Least common multiple can be found by multiplying the highest exponent prime factors of 68 and 71. First we will calculate the prime factors of 68 and 71.

Prime Factorization of 68


2 68
2 34
17 17
1

Prime factors of 68 are 2,17. Prime factorization of 68 in exponential form is:

68 = 22×171

Prime Factorization of 71


71 71
1

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 711

Now multiplying the highest exponent prime factors to calculate the LCM of 68 and 71.

LCM(68,71) = 22×171×711
LCM(68,71) = 4828

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1, 71

Least Common Multiple of 68 and 71 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68 and 71, than apply into the LCM equation.

GCF(68,71) = 1
LCM(68,71) = ( 68 × 71) / 1
LCM(68,71) = 4828 / 1
LCM(68,71) = 4828

Properties of LCM 68 and 71

(i) The LCM of 71 and 68 is associative

LCM of 68 and 71 = LCM of 71 and 68

Related Least Common Multiples of 68

Related Least Common Multiples of 71

Frequently Asked Questions on LCM of 68 and 71

1. What is the LCM of 68 and 71?

Answer: LCM of 68 and 71 is 4828.

2. What are the Factors of 68?

Answer: Factors of 68 are 1, 2, 4, 17, 34, 68. There are 6 integers that are factors of 68. The greatest factor of 68 is 68.

3. What are the Factors of 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

4. How to Find the LCM of 68 and 71?

Answer:

Least Common Multiple of 68 and 71 = 4828

Step 1: Find the prime factorization of 68

68 = 2 x 2 x 17

Step 2: Find the prime factorization of 71

71 = 71

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

LCM = 4828 = 2 x 2 x 17 x 71

Step 4: Therefore, the least common multiple of 68 and 71 is 4828.