Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4541 and 4545 the smallest integer that is 20638845 that is divisible by both numbers.
Least Common Multiple (LCM) of 4541 and 4545 is 20638845.
LCM(4541,4545) = 20638845
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 4541 and 4545. First we will calculate the prime factors of 4541 and 4545.
Prime Factorization of 4541
19 | 4541 |
239 | 239 |
1 |
Prime factors of 4541 are 19,239. Prime factorization of 4541 in exponential form is:
4541 = 191×2391
Prime Factorization of 4545
3 | 4545 |
3 | 1515 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 4545 are 3, 5,101. Prime factorization of 4545 in exponential form is:
4545 = 32×51×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 4541 and 4545.
LCM(4541,4545) = 32×51×191×1011×2391
LCM(4541,4545) = 20638845
Factors of 4541
List of positive integer factors of 4541 that divides 4541 without a remainder.
1, 19, 239, 4541
Factors of 4545
List of positive integer factors of 4545 that divides 4545 without a remainder.
1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4541 and 4545, than apply into the LCM equation.
GCF(4541,4545) = 1
LCM(4541,4545) = ( 4541 × 4545) / 1
LCM(4541,4545) = 20638845 / 1
LCM(4541,4545) = 20638845
(i) The LCM of 4545 and 4541 is associative
LCM of 4541 and 4545 = LCM of 4545 and 4541
1. What is the LCM of 4541 and 4545?
Answer: LCM of 4541 and 4545 is 20638845.
2. What are the Factors of 4541?
Answer: Factors of 4541 are 1, 19, 239, 4541. There are 4 integers that are factors of 4541. The greatest factor of 4541 is 4541.
3. What are the Factors of 4545?
Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.
4. How to Find the LCM of 4541 and 4545?
Answer:
Least Common Multiple of 4541 and 4545 = 20638845
Step 1: Find the prime factorization of 4541
4541 = 19 x 239
Step 2: Find the prime factorization of 4545
4545 = 3 x 3 x 5 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20638845 = 3 x 3 x 5 x 19 x 101 x 239
Step 4: Therefore, the least common multiple of 4541 and 4545 is 20638845.