Least Common Multiple of 44 and 63

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 63 the smallest integer that is 2772 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 63 is 2772.

LCM(44,63) = 2772

LCM of 44 and 63

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

LCM of:
and

Least Common Multiple of 44 and 63

LCM of 44 and 63 is 2772

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 63. First we will calculate the prime factors of 44 and 63.

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 63


3 63
3 21
7 7
1

Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:

63 = 32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 63.

LCM(44,63) = 22×32×71×111
LCM(44,63) = 2772

Factors of 44

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

1, 2, 4, 11, 22, 44

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Least Common Multiple of 44 and 63 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 63, than apply into the LCM equation.

GCF(44,63) = 1
LCM(44,63) = ( 44 × 63) / 1
LCM(44,63) = 2772 / 1
LCM(44,63) = 2772

Properties of LCM 44 and 63

(i) The LCM of 63 and 44 is associative

LCM of 44 and 63 = LCM of 63 and 44

Related Least Common Multiples of 44

Related Least Common Multiples of 63

Frequently Asked Questions on LCM of 44 and 63

1. What is the LCM of 44 and 63?

Answer: LCM of 44 and 63 is 2772.

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 63?

Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.

4. How to Find the LCM of 44 and 63?

Answer:

Least Common Multiple of 44 and 63 = 2772

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 63

63 = 3 x 3 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 = 2772 = 2 x 2 x 3 x 3 x 7 x 11

Step 4: Therefore, the least common multiple of 44 and 63 is 2772.