Least Common Multiple of 46 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 46 and 52 the smallest integer that is 1196 that is divisible by both numbers.

Least Common Multiple (LCM) of 46 and 52 is 1196.

LCM(46,52) = 1196

LCM of 46 and 52

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

LCM of:
and

Least Common Multiple of 46 and 52

LCM of 46 and 52 is 1196

Least common multiple can be found by multiplying the highest exponent prime factors of 46 and 52. First we will calculate the prime factors of 46 and 52.

Prime Factorization of 46


2 46
23 23
1

Prime factors of 46 are 2,23. Prime factorization of 46 in exponential form is:

46 = 21×231

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 46 and 52.

LCM(46,52) = 22×131×231
LCM(46,52) = 1196

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 46 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 46 and 52, than apply into the LCM equation.

GCF(46,52) = 2
LCM(46,52) = ( 46 × 52) / 2
LCM(46,52) = 2392 / 2
LCM(46,52) = 1196

Properties of LCM 46 and 52

(i) The LCM of 52 and 46 is associative

LCM of 46 and 52 = LCM of 52 and 46

Related Least Common Multiples of 46

Related Least Common Multiples of 52

Frequently Asked Questions on LCM of 46 and 52

1. What is the LCM of 46 and 52?

Answer: LCM of 46 and 52 is 1196.

2. What are the Factors of 46?

Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.

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 46 and 52?

Answer:

Least Common Multiple of 46 and 52 = 1196

Step 1: Find the prime factorization of 46

46 = 2 x 23

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 = 1196 = 2 x 2 x 13 x 23

Step 4: Therefore, the least common multiple of 46 and 52 is 1196.