Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 448 and 453 the smallest integer that is 202944 that is divisible by both numbers.
Least Common Multiple (LCM) of 448 and 453 is 202944.
LCM(448,453) = 202944
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 448 and 453. First we will calculate the prime factors of 448 and 453.
Prime Factorization of 448
2 | 448 |
2 | 224 |
2 | 112 |
2 | 56 |
2 | 28 |
2 | 14 |
7 | 7 |
1 |
Prime factors of 448 are 2,7. Prime factorization of 448 in exponential form is:
448 = 26×71
Prime Factorization of 453
3 | 453 |
151 | 151 |
1 |
Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:
453 = 31×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 448 and 453.
LCM(448,453) = 26×31×71×1511
LCM(448,453) = 202944
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1, 3, 151, 453
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 448 and 453, than apply into the LCM equation.
GCF(448,453) = 1
LCM(448,453) = ( 448 × 453) / 1
LCM(448,453) = 202944 / 1
LCM(448,453) = 202944
(i) The LCM of 453 and 448 is associative
LCM of 448 and 453 = LCM of 453 and 448
1. What is the LCM of 448 and 453?
Answer: LCM of 448 and 453 is 202944.
2. What are the Factors of 448?
Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.
3. What are the Factors of 453?
Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.
4. How to Find the LCM of 448 and 453?
Answer:
Least Common Multiple of 448 and 453 = 202944
Step 1: Find the prime factorization of 448
448 = 2 x 2 x 2 x 2 x 2 x 2 x 7
Step 2: Find the prime factorization of 453
453 = 3 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 202944 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 151
Step 4: Therefore, the least common multiple of 448 and 453 is 202944.