Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4348 and 4352 the smallest integer that is 4730624 that is divisible by both numbers.
Least Common Multiple (LCM) of 4348 and 4352 is 4730624.
LCM(4348,4352) = 4730624
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 4348 and 4352. First we will calculate the prime factors of 4348 and 4352.
Prime Factorization of 4348
2 | 4348 |
2 | 2174 |
1087 | 1087 |
1 |
Prime factors of 4348 are 2,1087. Prime factorization of 4348 in exponential form is:
4348 = 22×10871
Prime Factorization of 4352
2 | 4352 |
2 | 2176 |
2 | 1088 |
2 | 544 |
2 | 272 |
2 | 136 |
2 | 68 |
2 | 34 |
17 | 17 |
1 |
Prime factors of 4352 are 2,17. Prime factorization of 4352 in exponential form is:
4352 = 28×171
Now multiplying the highest exponent prime factors to calculate the LCM of 4348 and 4352.
LCM(4348,4352) = 28×171×10871
LCM(4348,4352) = 4730624
Factors of 4348
List of positive integer factors of 4348 that divides 4348 without a remainder.
1, 2, 4, 1087, 2174, 4348
Factors of 4352
List of positive integer factors of 4352 that divides 4352 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4348 and 4352, than apply into the LCM equation.
GCF(4348,4352) = 4
LCM(4348,4352) = ( 4348 × 4352) / 4
LCM(4348,4352) = 18922496 / 4
LCM(4348,4352) = 4730624
(i) The LCM of 4352 and 4348 is associative
LCM of 4348 and 4352 = LCM of 4352 and 4348
1. What is the LCM of 4348 and 4352?
Answer: LCM of 4348 and 4352 is 4730624.
2. What are the Factors of 4348?
Answer: Factors of 4348 are 1, 2, 4, 1087, 2174, 4348. There are 6 integers that are factors of 4348. The greatest factor of 4348 is 4348.
3. What are the Factors of 4352?
Answer: Factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352. There are 18 integers that are factors of 4352. The greatest factor of 4352 is 4352.
4. How to Find the LCM of 4348 and 4352?
Answer:
Least Common Multiple of 4348 and 4352 = 4730624
Step 1: Find the prime factorization of 4348
4348 = 2 x 2 x 1087
Step 2: Find the prime factorization of 4352
4352 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4730624 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 1087
Step 4: Therefore, the least common multiple of 4348 and 4352 is 4730624.