Least Common Multiple of 52 and 70

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 70 the smallest integer that is 1820 that is divisible by both numbers.

Least Common Multiple (LCM) of 52 and 70 is 1820.

LCM(52,70) = 1820

LCM of 52 and 70

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

LCM of:
and

Least Common Multiple of 52 and 70

LCM of 52 and 70 is 1820

Least common multiple can be found by multiplying the highest exponent prime factors of 52 and 70. First we will calculate the prime factors of 52 and 70.

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 70


2 70
5 35
7 7
1

Prime factors of 70 are 2, 5,7. Prime factorization of 70 in exponential form is:

70 = 21×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 52 and 70.

LCM(52,70) = 22×51×71×131
LCM(52,70) = 1820

Factors of 52

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

1, 2, 4, 13, 26, 52

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Least Common Multiple of 52 and 70 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 70, than apply into the LCM equation.

GCF(52,70) = 2
LCM(52,70) = ( 52 × 70) / 2
LCM(52,70) = 3640 / 2
LCM(52,70) = 1820

Properties of LCM 52 and 70

(i) The LCM of 70 and 52 is associative

LCM of 52 and 70 = LCM of 70 and 52

Related Least Common Multiples of 52

Related Least Common Multiples of 70

Frequently Asked Questions on LCM of 52 and 70

1. What is the LCM of 52 and 70?

Answer: LCM of 52 and 70 is 1820.

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 70?

Answer: Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. There are 8 integers that are factors of 70. The greatest factor of 70 is 70.

4. How to Find the LCM of 52 and 70?

Answer:

Least Common Multiple of 52 and 70 = 1820

Step 1: Find the prime factorization of 52

52 = 2 x 2 x 13

Step 2: Find the prime factorization of 70

70 = 2 x 5 x 7

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

LCM = 1820 = 2 x 2 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 52 and 70 is 1820.