Least Common Multiple of 44 and 49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 44 and 49 the smallest integer that is 2156 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 49 is 2156.

LCM(44,49) = 2156

LCM of 44 and 49

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

LCM of:
and

Least Common Multiple of 44 and 49

LCM of 44 and 49 is 2156

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 49. First we will calculate the prime factors of 44 and 49.

Prime Factorization of 44


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Prime Factorization of 49


7 49
7 7
1

Prime factors of 49 are 7. Prime factorization of 49 in exponential form is:

49 = 72

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 49.

LCM(44,49) = 22×72×111
LCM(44,49) = 2156

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1, 7, 49

Least Common Multiple of 44 and 49 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44 and 49, than apply into the LCM equation.

GCF(44,49) = 1
LCM(44,49) = ( 44 × 49) / 1
LCM(44,49) = 2156 / 1
LCM(44,49) = 2156

Properties of LCM 44 and 49

(i) The LCM of 49 and 44 is associative

LCM of 44 and 49 = LCM of 49 and 44

Related Least Common Multiples of 44

Related Least Common Multiples of 49

Frequently Asked Questions on LCM of 44 and 49

1. What is the LCM of 44 and 49?

Answer: LCM of 44 and 49 is 2156.

2. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

3. What are the Factors of 49?

Answer: Factors of 49 are 1, 7, 49. There are 3 integers that are factors of 49. The greatest factor of 49 is 49.

4. How to Find the LCM of 44 and 49?

Answer:

Least Common Multiple of 44 and 49 = 2156

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 49

49 = 7 x 7

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

LCM = 2156 = 2 x 2 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 44 and 49 is 2156.