Least Common Multiple of 48 and 53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 48 and 53 the smallest integer that is 2544 that is divisible by both numbers.

Least Common Multiple (LCM) of 48 and 53 is 2544.

LCM(48,53) = 2544

LCM of 48 and 53

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

LCM of:
and

Least Common Multiple of 48 and 53

LCM of 48 and 53 is 2544

Least common multiple can be found by multiplying the highest exponent prime factors of 48 and 53. First we will calculate the prime factors of 48 and 53.

Prime Factorization of 48


2 48
2 24
2 12
2 6
3 3
1

Prime factors of 48 are 2,3. Prime factorization of 48 in exponential form is:

48 = 24×31

Prime Factorization of 53


53 53
1

Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 531

Now multiplying the highest exponent prime factors to calculate the LCM of 48 and 53.

LCM(48,53) = 24×31×531
LCM(48,53) = 2544

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1, 53

Least Common Multiple of 48 and 53 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48 and 53, than apply into the LCM equation.

GCF(48,53) = 1
LCM(48,53) = ( 48 × 53) / 1
LCM(48,53) = 2544 / 1
LCM(48,53) = 2544

Properties of LCM 48 and 53

(i) The LCM of 53 and 48 is associative

LCM of 48 and 53 = LCM of 53 and 48

Related Least Common Multiples of 48

Related Least Common Multiples of 53

Frequently Asked Questions on LCM of 48 and 53

1. What is the LCM of 48 and 53?

Answer: LCM of 48 and 53 is 2544.

2. What are the Factors of 48?

Answer: Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. There are 10 integers that are factors of 48. The greatest factor of 48 is 48.

3. What are the Factors of 53?

Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.

4. How to Find the LCM of 48 and 53?

Answer:

Least Common Multiple of 48 and 53 = 2544

Step 1: Find the prime factorization of 48

48 = 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 53

53 = 53

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

LCM = 2544 = 2 x 2 x 2 x 2 x 3 x 53

Step 4: Therefore, the least common multiple of 48 and 53 is 2544.