Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4376 and 4384 the smallest integer that is 2398048 that is divisible by both numbers.
Least Common Multiple (LCM) of 4376 and 4384 is 2398048.
LCM(4376,4384) = 2398048
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 4376 and 4384. First we will calculate the prime factors of 4376 and 4384.
Prime Factorization of 4376
2 | 4376 |
2 | 2188 |
2 | 1094 |
547 | 547 |
1 |
Prime factors of 4376 are 2,547. Prime factorization of 4376 in exponential form is:
4376 = 23×5471
Prime Factorization of 4384
2 | 4384 |
2 | 2192 |
2 | 1096 |
2 | 548 |
2 | 274 |
137 | 137 |
1 |
Prime factors of 4384 are 2,137. Prime factorization of 4384 in exponential form is:
4384 = 25×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 4376 and 4384.
LCM(4376,4384) = 25×1371×5471
LCM(4376,4384) = 2398048
Factors of 4376
List of positive integer factors of 4376 that divides 4376 without a remainder.
1, 2, 4, 8, 547, 1094, 2188, 4376
Factors of 4384
List of positive integer factors of 4384 that divides 4384 without a remainder.
1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4376 and 4384, than apply into the LCM equation.
GCF(4376,4384) = 8
LCM(4376,4384) = ( 4376 × 4384) / 8
LCM(4376,4384) = 19184384 / 8
LCM(4376,4384) = 2398048
(i) The LCM of 4384 and 4376 is associative
LCM of 4376 and 4384 = LCM of 4384 and 4376
1. What is the LCM of 4376 and 4384?
Answer: LCM of 4376 and 4384 is 2398048.
2. What are the Factors of 4376?
Answer: Factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376. There are 8 integers that are factors of 4376. The greatest factor of 4376 is 4376.
3. What are the Factors of 4384?
Answer: Factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. There are 12 integers that are factors of 4384. The greatest factor of 4384 is 4384.
4. How to Find the LCM of 4376 and 4384?
Answer:
Least Common Multiple of 4376 and 4384 = 2398048
Step 1: Find the prime factorization of 4376
4376 = 2 x 2 x 2 x 547
Step 2: Find the prime factorization of 4384
4384 = 2 x 2 x 2 x 2 x 2 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2398048 = 2 x 2 x 2 x 2 x 2 x 137 x 547
Step 4: Therefore, the least common multiple of 4376 and 4384 is 2398048.