Least Common Multiple of 41 and 48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 41 and 48 the smallest integer that is 1968 that is divisible by both numbers.

Least Common Multiple (LCM) of 41 and 48 is 1968.

LCM(41,48) = 1968

LCM of 41 and 48

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

LCM of:
and

Least Common Multiple of 41 and 48

LCM of 41 and 48 is 1968

Least common multiple can be found by multiplying the highest exponent prime factors of 41 and 48. First we will calculate the prime factors of 41 and 48.

Prime Factorization of 41


41 41
1

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

41 = 411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 41 and 48.

LCM(41,48) = 24×31×411
LCM(41,48) = 1968

Factors of 41

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

1, 41

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

Least Common Multiple of 41 and 48 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41 and 48, than apply into the LCM equation.

GCF(41,48) = 1
LCM(41,48) = ( 41 × 48) / 1
LCM(41,48) = 1968 / 1
LCM(41,48) = 1968

Properties of LCM 41 and 48

(i) The LCM of 48 and 41 is associative

LCM of 41 and 48 = LCM of 48 and 41

Related Least Common Multiples of 41

Related Least Common Multiples of 48

Frequently Asked Questions on LCM of 41 and 48

1. What is the LCM of 41 and 48?

Answer: LCM of 41 and 48 is 1968.

2. 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.

3. 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.

4. How to Find the LCM of 41 and 48?

Answer:

Least Common Multiple of 41 and 48 = 1968

Step 1: Find the prime factorization of 41

41 = 41

Step 2: Find the prime factorization of 48

48 = 2 x 2 x 2 x 2 x 3

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

LCM = 1968 = 2 x 2 x 2 x 2 x 3 x 41

Step 4: Therefore, the least common multiple of 41 and 48 is 1968.