Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4549 and 4557 the smallest integer that is 20729793 that is divisible by both numbers.
Least Common Multiple (LCM) of 4549 and 4557 is 20729793.
LCM(4549,4557) = 20729793
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 4549 and 4557. First we will calculate the prime factors of 4549 and 4557.
Prime Factorization of 4549
4549 | 4549 |
1 |
Prime factors of 4549 are 4549. Prime factorization of 4549 in exponential form is:
4549 = 45491
Prime Factorization of 4557
3 | 4557 |
7 | 1519 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 4557 are 3, 7,31. Prime factorization of 4557 in exponential form is:
4557 = 31×72×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4549 and 4557.
LCM(4549,4557) = 31×72×311×45491
LCM(4549,4557) = 20729793
Factors of 4549
List of positive integer factors of 4549 that divides 4549 without a remainder.
1, 4549
Factors of 4557
List of positive integer factors of 4557 that divides 4557 without a remainder.
1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4549 and 4557, than apply into the LCM equation.
GCF(4549,4557) = 1
LCM(4549,4557) = ( 4549 × 4557) / 1
LCM(4549,4557) = 20729793 / 1
LCM(4549,4557) = 20729793
(i) The LCM of 4557 and 4549 is associative
LCM of 4549 and 4557 = LCM of 4557 and 4549
1. What is the LCM of 4549 and 4557?
Answer: LCM of 4549 and 4557 is 20729793.
2. What are the Factors of 4549?
Answer: Factors of 4549 are 1, 4549. There are 2 integers that are factors of 4549. The greatest factor of 4549 is 4549.
3. What are the Factors of 4557?
Answer: Factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557. There are 12 integers that are factors of 4557. The greatest factor of 4557 is 4557.
4. How to Find the LCM of 4549 and 4557?
Answer:
Least Common Multiple of 4549 and 4557 = 20729793
Step 1: Find the prime factorization of 4549
4549 = 4549
Step 2: Find the prime factorization of 4557
4557 = 3 x 7 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20729793 = 3 x 7 x 7 x 31 x 4549
Step 4: Therefore, the least common multiple of 4549 and 4557 is 20729793.