Least Common Multiple of 52 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 52 and 71 the smallest integer that is 3692 that is divisible by both numbers.

Least Common Multiple (LCM) of 52 and 71 is 3692.

LCM(52,71) = 3692

LCM of 52 and 71

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

LCM of:
and

Least Common Multiple of 52 and 71

LCM of 52 and 71 is 3692

Least common multiple can be found by multiplying the highest exponent prime factors of 52 and 71. First we will calculate the prime factors of 52 and 71.

Prime Factorization of 52


2 52
2 26
13 13
1

Prime factors of 52 are 2,13. Prime factorization of 52 in exponential form is:

52 = 22×131

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 52 and 71.

LCM(52,71) = 22×131×711
LCM(52,71) = 3692

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Factors of 71

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

1, 71

Least Common Multiple of 52 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 52 and 71, than apply into the LCM equation.

GCF(52,71) = 1
LCM(52,71) = ( 52 × 71) / 1
LCM(52,71) = 3692 / 1
LCM(52,71) = 3692

Properties of LCM 52 and 71

(i) The LCM of 71 and 52 is associative

LCM of 52 and 71 = LCM of 71 and 52

Related Least Common Multiples of 52

Related Least Common Multiples of 71

Frequently Asked Questions on LCM of 52 and 71

1. What is the LCM of 52 and 71?

Answer: LCM of 52 and 71 is 3692.

2. What are the Factors of 52?

Answer: Factors of 52 are 1, 2, 4, 13, 26, 52. There are 6 integers that are factors of 52. The greatest factor of 52 is 52.

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 52 and 71?

Answer:

Least Common Multiple of 52 and 71 = 3692

Step 1: Find the prime factorization of 52

52 = 2 x 2 x 13

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 = 3692 = 2 x 2 x 13 x 71

Step 4: Therefore, the least common multiple of 52 and 71 is 3692.