Least Common Multiple of 28 and 41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 28 and 41 the smallest integer that is 1148 that is divisible by both numbers.

Least Common Multiple (LCM) of 28 and 41 is 1148.

LCM(28,41) = 1148

LCM of 28 and 41

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

LCM of:
and

Least Common Multiple of 28 and 41

LCM of 28 and 41 is 1148

Least common multiple can be found by multiplying the highest exponent prime factors of 28 and 41. First we will calculate the prime factors of 28 and 41.

Prime Factorization of 28


2 28
2 14
7 7
1

Prime factors of 28 are 2,7. Prime factorization of 28 in exponential form is:

28 = 22×71

Prime Factorization of 41


41 41
1

Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411

Now multiplying the highest exponent prime factors to calculate the LCM of 28 and 41.

LCM(28,41) = 22×71×411
LCM(28,41) = 1148

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1, 41

Least Common Multiple of 28 and 41 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28 and 41, than apply into the LCM equation.

GCF(28,41) = 1
LCM(28,41) = ( 28 × 41) / 1
LCM(28,41) = 1148 / 1
LCM(28,41) = 1148

Properties of LCM 28 and 41

(i) The LCM of 41 and 28 is associative

LCM of 28 and 41 = LCM of 41 and 28

Related Least Common Multiples of 28

Related Least Common Multiples of 41

Frequently Asked Questions on LCM of 28 and 41

1. What is the LCM of 28 and 41?

Answer: LCM of 28 and 41 is 1148.

2. What are the Factors of 28?

Answer: Factors of 28 are 1, 2, 4, 7, 14, 28. There are 6 integers that are factors of 28. The greatest factor of 28 is 28.

3. What are the Factors of 41?

Answer: Factors of 41 are 1, 41. There are 2 integers that are factors of 41. The greatest factor of 41 is 41.

4. How to Find the LCM of 28 and 41?

Answer:

Least Common Multiple of 28 and 41 = 1148

Step 1: Find the prime factorization of 28

28 = 2 x 2 x 7

Step 2: Find the prime factorization of 41

41 = 41

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

LCM = 1148 = 2 x 2 x 7 x 41

Step 4: Therefore, the least common multiple of 28 and 41 is 1148.