Least Common Multiple of 52 and 66

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 66 the smallest integer that is 1716 that is divisible by both numbers.

Least Common Multiple (LCM) of 52 and 66 is 1716.

LCM(52,66) = 1716

LCM of 52 and 66

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

LCM of:
and

Least Common Multiple of 52 and 66

LCM of 52 and 66 is 1716

Least common multiple can be found by multiplying the highest exponent prime factors of 52 and 66. First we will calculate the prime factors of 52 and 66.

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 66


2 66
3 33
11 11
1

Prime factors of 66 are 2, 3,11. Prime factorization of 66 in exponential form is:

66 = 21×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 52 and 66.

LCM(52,66) = 22×31×111×131
LCM(52,66) = 1716

Factors of 52

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

1, 2, 4, 13, 26, 52

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Least Common Multiple of 52 and 66 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 66, than apply into the LCM equation.

GCF(52,66) = 2
LCM(52,66) = ( 52 × 66) / 2
LCM(52,66) = 3432 / 2
LCM(52,66) = 1716

Properties of LCM 52 and 66

(i) The LCM of 66 and 52 is associative

LCM of 52 and 66 = LCM of 66 and 52

Related Least Common Multiples of 52

Related Least Common Multiples of 66

Frequently Asked Questions on LCM of 52 and 66

1. What is the LCM of 52 and 66?

Answer: LCM of 52 and 66 is 1716.

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 66?

Answer: Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. There are 8 integers that are factors of 66. The greatest factor of 66 is 66.

4. How to Find the LCM of 52 and 66?

Answer:

Least Common Multiple of 52 and 66 = 1716

Step 1: Find the prime factorization of 52

52 = 2 x 2 x 13

Step 2: Find the prime factorization of 66

66 = 2 x 3 x 11

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

LCM = 1716 = 2 x 2 x 3 x 11 x 13

Step 4: Therefore, the least common multiple of 52 and 66 is 1716.