Least Common Multiple of 5944 and 5949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5944 and 5949 the smallest integer that is 35360856 that is divisible by both numbers.

Least Common Multiple (LCM) of 5944 and 5949 is 35360856.

LCM(5944,5949) = 35360856

LCM of 5944 and 5949

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

LCM of:
and

Least Common Multiple of 5944 and 5949

LCM of 5944 and 5949 is 35360856

Least common multiple can be found by multiplying the highest exponent prime factors of 5944 and 5949. First we will calculate the prime factors of 5944 and 5949.

Prime Factorization of 5944


2 5944
2 2972
2 1486
743 743
1

Prime factors of 5944 are 2,743. Prime factorization of 5944 in exponential form is:

5944 = 23×7431

Prime Factorization of 5949


3 5949
3 1983
661 661
1

Prime factors of 5949 are 3,661. Prime factorization of 5949 in exponential form is:

5949 = 32×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 5944 and 5949.

LCM(5944,5949) = 23×32×6611×7431
LCM(5944,5949) = 35360856

Factors of 5944

List of positive integer factors of 5944 that divides 5944 without a remainder.

1, 2, 4, 8, 743, 1486, 2972, 5944

Factors of 5949

List of positive integer factors of 5949 that divides 5949 without a remainder.

1, 3, 9, 661, 1983, 5949

Least Common Multiple of 5944 and 5949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5944 and 5949, than apply into the LCM equation.

GCF(5944,5949) = 1
LCM(5944,5949) = ( 5944 × 5949) / 1
LCM(5944,5949) = 35360856 / 1
LCM(5944,5949) = 35360856

Properties of LCM 5944 and 5949

(i) The LCM of 5949 and 5944 is associative

LCM of 5944 and 5949 = LCM of 5949 and 5944

Related Least Common Multiples of 5944

Related Least Common Multiples of 5949

Frequently Asked Questions on LCM of 5944 and 5949

1. What is the LCM of 5944 and 5949?

Answer: LCM of 5944 and 5949 is 35360856.

2. What are the Factors of 5944?

Answer: Factors of 5944 are 1, 2, 4, 8, 743, 1486, 2972, 5944. There are 8 integers that are factors of 5944. The greatest factor of 5944 is 5944.

3. What are the Factors of 5949?

Answer: Factors of 5949 are 1, 3, 9, 661, 1983, 5949. There are 6 integers that are factors of 5949. The greatest factor of 5949 is 5949.

4. How to Find the LCM of 5944 and 5949?

Answer:

Least Common Multiple of 5944 and 5949 = 35360856

Step 1: Find the prime factorization of 5944

5944 = 2 x 2 x 2 x 743

Step 2: Find the prime factorization of 5949

5949 = 3 x 3 x 661

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

LCM = 35360856 = 2 x 2 x 2 x 3 x 3 x 661 x 743

Step 4: Therefore, the least common multiple of 5944 and 5949 is 35360856.