Least Common Multiple of 71 and 78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 71 and 78 the smallest integer that is 5538 that is divisible by both numbers.

Least Common Multiple (LCM) of 71 and 78 is 5538.

LCM(71,78) = 5538

LCM of 71 and 78

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

LCM of:
and

Least Common Multiple of 71 and 78

LCM of 71 and 78 is 5538

Least common multiple can be found by multiplying the highest exponent prime factors of 71 and 78. First we will calculate the prime factors of 71 and 78.

Prime Factorization of 71


71 71
1

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

71 = 711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 71 and 78.

LCM(71,78) = 21×31×131×711
LCM(71,78) = 5538

Factors of 71

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

1, 71

Factors of 78

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

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

Least Common Multiple of 71 and 78 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71 and 78, than apply into the LCM equation.

GCF(71,78) = 1
LCM(71,78) = ( 71 × 78) / 1
LCM(71,78) = 5538 / 1
LCM(71,78) = 5538

Properties of LCM 71 and 78

(i) The LCM of 78 and 71 is associative

LCM of 71 and 78 = LCM of 78 and 71

Related Least Common Multiples of 71

Related Least Common Multiples of 78

Frequently Asked Questions on LCM of 71 and 78

1. What is the LCM of 71 and 78?

Answer: LCM of 71 and 78 is 5538.

2. 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.

3. 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.

4. How to Find the LCM of 71 and 78?

Answer:

Least Common Multiple of 71 and 78 = 5538

Step 1: Find the prime factorization of 71

71 = 71

Step 2: Find the prime factorization of 78

78 = 2 x 3 x 13

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

LCM = 5538 = 2 x 3 x 13 x 71

Step 4: Therefore, the least common multiple of 71 and 78 is 5538.