Least Common Multiple of 49 and 52

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 49 and 52 the smallest integer that is 2548 that is divisible by both numbers.

Least Common Multiple (LCM) of 49 and 52 is 2548.

LCM(49,52) = 2548

LCM of 49 and 52

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

LCM of:
and

Least Common Multiple of 49 and 52

LCM of 49 and 52 is 2548

Least common multiple can be found by multiplying the highest exponent prime factors of 49 and 52. First we will calculate the prime factors of 49 and 52.

Prime Factorization of 49


7 49
7 7
1

Prime factors of 49 are 7. Prime factorization of 49 in exponential form is:

49 = 72

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

Now multiplying the highest exponent prime factors to calculate the LCM of 49 and 52.

LCM(49,52) = 22×72×131
LCM(49,52) = 2548

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1, 7, 49

Factors of 52

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

1, 2, 4, 13, 26, 52

Least Common Multiple of 49 and 52 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49 and 52, than apply into the LCM equation.

GCF(49,52) = 1
LCM(49,52) = ( 49 × 52) / 1
LCM(49,52) = 2548 / 1
LCM(49,52) = 2548

Properties of LCM 49 and 52

(i) The LCM of 52 and 49 is associative

LCM of 49 and 52 = LCM of 52 and 49

Related Least Common Multiples of 49

Related Least Common Multiples of 52

Frequently Asked Questions on LCM of 49 and 52

1. What is the LCM of 49 and 52?

Answer: LCM of 49 and 52 is 2548.

2. What are the Factors of 49?

Answer: Factors of 49 are 1, 7, 49. There are 3 integers that are factors of 49. The greatest factor of 49 is 49.

3. 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.

4. How to Find the LCM of 49 and 52?

Answer:

Least Common Multiple of 49 and 52 = 2548

Step 1: Find the prime factorization of 49

49 = 7 x 7

Step 2: Find the prime factorization of 52

52 = 2 x 2 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 = 2548 = 2 x 2 x 7 x 7 x 13

Step 4: Therefore, the least common multiple of 49 and 52 is 2548.