Least Common Multiple of 48 and 59

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 59 the smallest integer that is 2832 that is divisible by both numbers.

Least Common Multiple (LCM) of 48 and 59 is 2832.

LCM(48,59) = 2832

LCM of 48 and 59

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

LCM of:
and

Least Common Multiple of 48 and 59

LCM of 48 and 59 is 2832

Least common multiple can be found by multiplying the highest exponent prime factors of 48 and 59. First we will calculate the prime factors of 48 and 59.

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 59


59 59
1

Prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 591

Now multiplying the highest exponent prime factors to calculate the LCM of 48 and 59.

LCM(48,59) = 24×31×591
LCM(48,59) = 2832

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 59

List of positive integer factors of 59 that divides 59 without a remainder.

1, 59

Least Common Multiple of 48 and 59 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 59, than apply into the LCM equation.

GCF(48,59) = 1
LCM(48,59) = ( 48 × 59) / 1
LCM(48,59) = 2832 / 1
LCM(48,59) = 2832

Properties of LCM 48 and 59

(i) The LCM of 59 and 48 is associative

LCM of 48 and 59 = LCM of 59 and 48

Related Least Common Multiples of 48

Related Least Common Multiples of 59

Frequently Asked Questions on LCM of 48 and 59

1. What is the LCM of 48 and 59?

Answer: LCM of 48 and 59 is 2832.

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 59?

Answer: Factors of 59 are 1, 59. There are 2 integers that are factors of 59. The greatest factor of 59 is 59.

4. How to Find the LCM of 48 and 59?

Answer:

Least Common Multiple of 48 and 59 = 2832

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 59

59 = 59

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

LCM = 2832 = 2 x 2 x 2 x 2 x 3 x 59

Step 4: Therefore, the least common multiple of 48 and 59 is 2832.