Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4392 and 4400 the smallest integer that is 2415600 that is divisible by both numbers.
Least Common Multiple (LCM) of 4392 and 4400 is 2415600.
LCM(4392,4400) = 2415600
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 4392 and 4400. First we will calculate the prime factors of 4392 and 4400.
Prime Factorization of 4392
2 | 4392 |
2 | 2196 |
2 | 1098 |
3 | 549 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 4392 are 2, 3,61. Prime factorization of 4392 in exponential form is:
4392 = 23×32×611
Prime Factorization of 4400
2 | 4400 |
2 | 2200 |
2 | 1100 |
2 | 550 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 4400 are 2, 5,11. Prime factorization of 4400 in exponential form is:
4400 = 24×52×111
Now multiplying the highest exponent prime factors to calculate the LCM of 4392 and 4400.
LCM(4392,4400) = 24×32×52×111×611
LCM(4392,4400) = 2415600
Factors of 4392
List of positive integer factors of 4392 that divides 4392 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
Factors of 4400
List of positive integer factors of 4400 that divides 4400 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4392 and 4400, than apply into the LCM equation.
GCF(4392,4400) = 8
LCM(4392,4400) = ( 4392 × 4400) / 8
LCM(4392,4400) = 19324800 / 8
LCM(4392,4400) = 2415600
(i) The LCM of 4400 and 4392 is associative
LCM of 4392 and 4400 = LCM of 4400 and 4392
1. What is the LCM of 4392 and 4400?
Answer: LCM of 4392 and 4400 is 2415600.
2. What are the Factors of 4392?
Answer: Factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392. There are 24 integers that are factors of 4392. The greatest factor of 4392 is 4392.
3. What are the Factors of 4400?
Answer: Factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400. There are 30 integers that are factors of 4400. The greatest factor of 4400 is 4400.
4. How to Find the LCM of 4392 and 4400?
Answer:
Least Common Multiple of 4392 and 4400 = 2415600
Step 1: Find the prime factorization of 4392
4392 = 2 x 2 x 2 x 3 x 3 x 61
Step 2: Find the prime factorization of 4400
4400 = 2 x 2 x 2 x 2 x 5 x 5 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2415600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 61
Step 4: Therefore, the least common multiple of 4392 and 4400 is 2415600.