Least Common Multiple of 44 and 47

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 47 the smallest integer that is 2068 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 47 is 2068.

LCM(44,47) = 2068

LCM of 44 and 47

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

LCM of:
and

Least Common Multiple of 44 and 47

LCM of 44 and 47 is 2068

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 47. First we will calculate the prime factors of 44 and 47.

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 47


47 47
1

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 47.

LCM(44,47) = 22×111×471
LCM(44,47) = 2068

Factors of 44

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

1, 2, 4, 11, 22, 44

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1, 47

Least Common Multiple of 44 and 47 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 47, than apply into the LCM equation.

GCF(44,47) = 1
LCM(44,47) = ( 44 × 47) / 1
LCM(44,47) = 2068 / 1
LCM(44,47) = 2068

Properties of LCM 44 and 47

(i) The LCM of 47 and 44 is associative

LCM of 44 and 47 = LCM of 47 and 44

Related Least Common Multiples of 44

Related Least Common Multiples of 47

Frequently Asked Questions on LCM of 44 and 47

1. What is the LCM of 44 and 47?

Answer: LCM of 44 and 47 is 2068.

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 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

4. How to Find the LCM of 44 and 47?

Answer:

Least Common Multiple of 44 and 47 = 2068

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 47

47 = 47

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

LCM = 2068 = 2 x 2 x 11 x 47

Step 4: Therefore, the least common multiple of 44 and 47 is 2068.