Least Common Multiple of 44 and 51

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 51 the smallest integer that is 2244 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 51 is 2244.

LCM(44,51) = 2244

LCM of 44 and 51

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

LCM of:
and

Least Common Multiple of 44 and 51

LCM of 44 and 51 is 2244

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 51. First we will calculate the prime factors of 44 and 51.

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 51


3 51
17 17
1

Prime factors of 51 are 3,17. Prime factorization of 51 in exponential form is:

51 = 31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 51.

LCM(44,51) = 22×31×111×171
LCM(44,51) = 2244

Factors of 44

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

1, 2, 4, 11, 22, 44

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Least Common Multiple of 44 and 51 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 51, than apply into the LCM equation.

GCF(44,51) = 1
LCM(44,51) = ( 44 × 51) / 1
LCM(44,51) = 2244 / 1
LCM(44,51) = 2244

Properties of LCM 44 and 51

(i) The LCM of 51 and 44 is associative

LCM of 44 and 51 = LCM of 51 and 44

Related Least Common Multiples of 44

Related Least Common Multiples of 51

Frequently Asked Questions on LCM of 44 and 51

1. What is the LCM of 44 and 51?

Answer: LCM of 44 and 51 is 2244.

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 51?

Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.

4. How to Find the LCM of 44 and 51?

Answer:

Least Common Multiple of 44 and 51 = 2244

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 51

51 = 3 x 17

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

LCM = 2244 = 2 x 2 x 3 x 11 x 17

Step 4: Therefore, the least common multiple of 44 and 51 is 2244.