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 53 the smallest integer that is 2332 that is divisible by both numbers.
Least Common Multiple (LCM) of 44 and 53 is 2332.
LCM(44,53) = 2332
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 53. First we will calculate the prime factors of 44 and 53.
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 53
53 | 53 |
1 |
Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:
53 = 531
Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 53.
LCM(44,53) = 22×111×531
LCM(44,53) = 2332
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1, 53
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44 and 53, than apply into the LCM equation.
GCF(44,53) = 1
LCM(44,53) = ( 44 × 53) / 1
LCM(44,53) = 2332 / 1
LCM(44,53) = 2332
(i) The LCM of 53 and 44 is associative
LCM of 44 and 53 = LCM of 53 and 44
1. What is the LCM of 44 and 53?
Answer: LCM of 44 and 53 is 2332.
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 53?
Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.
4. How to Find the LCM of 44 and 53?
Answer:
Least Common Multiple of 44 and 53 = 2332
Step 1: Find the prime factorization of 44
44 = 2 x 2 x 11
Step 2: Find the prime factorization of 53
53 = 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2332 = 2 x 2 x 11 x 53
Step 4: Therefore, the least common multiple of 44 and 53 is 2332.