Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4546 and 4548 the smallest integer that is 10337604 that is divisible by both numbers.
Least Common Multiple (LCM) of 4546 and 4548 is 10337604.
LCM(4546,4548) = 10337604
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 4546 and 4548. First we will calculate the prime factors of 4546 and 4548.
Prime Factorization of 4546
2 | 4546 |
2273 | 2273 |
1 |
Prime factors of 4546 are 2,2273. Prime factorization of 4546 in exponential form is:
4546 = 21×22731
Prime Factorization of 4548
2 | 4548 |
2 | 2274 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 4548 are 2, 3,379. Prime factorization of 4548 in exponential form is:
4548 = 22×31×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 4546 and 4548.
LCM(4546,4548) = 22×31×3791×22731
LCM(4546,4548) = 10337604
Factors of 4546
List of positive integer factors of 4546 that divides 4546 without a remainder.
1, 2, 2273, 4546
Factors of 4548
List of positive integer factors of 4548 that divides 4548 without a remainder.
1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4546 and 4548, than apply into the LCM equation.
GCF(4546,4548) = 2
LCM(4546,4548) = ( 4546 × 4548) / 2
LCM(4546,4548) = 20675208 / 2
LCM(4546,4548) = 10337604
(i) The LCM of 4548 and 4546 is associative
LCM of 4546 and 4548 = LCM of 4548 and 4546
1. What is the LCM of 4546 and 4548?
Answer: LCM of 4546 and 4548 is 10337604.
2. What are the Factors of 4546?
Answer: Factors of 4546 are 1, 2, 2273, 4546. There are 4 integers that are factors of 4546. The greatest factor of 4546 is 4546.
3. What are the Factors of 4548?
Answer: Factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548. There are 12 integers that are factors of 4548. The greatest factor of 4548 is 4548.
4. How to Find the LCM of 4546 and 4548?
Answer:
Least Common Multiple of 4546 and 4548 = 10337604
Step 1: Find the prime factorization of 4546
4546 = 2 x 2273
Step 2: Find the prime factorization of 4548
4548 = 2 x 2 x 3 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10337604 = 2 x 2 x 3 x 379 x 2273
Step 4: Therefore, the least common multiple of 4546 and 4548 is 10337604.