Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5425 and 5430 the smallest integer that is 5891550 that is divisible by both numbers.
Least Common Multiple (LCM) of 5425 and 5430 is 5891550.
LCM(5425,5430) = 5891550
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 5425 and 5430. First we will calculate the prime factors of 5425 and 5430.
Prime Factorization of 5425
5 | 5425 |
5 | 1085 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 5425 are 5, 7,31. Prime factorization of 5425 in exponential form is:
5425 = 52×71×311
Prime Factorization of 5430
2 | 5430 |
3 | 2715 |
5 | 905 |
181 | 181 |
1 |
Prime factors of 5430 are 2, 3, 5,181. Prime factorization of 5430 in exponential form is:
5430 = 21×31×51×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 5425 and 5430.
LCM(5425,5430) = 21×31×52×71×311×1811
LCM(5425,5430) = 5891550
Factors of 5425
List of positive integer factors of 5425 that divides 5425 without a remainder.
1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425
Factors of 5430
List of positive integer factors of 5430 that divides 5430 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5425 and 5430, than apply into the LCM equation.
GCF(5425,5430) = 5
LCM(5425,5430) = ( 5425 × 5430) / 5
LCM(5425,5430) = 29457750 / 5
LCM(5425,5430) = 5891550
(i) The LCM of 5430 and 5425 is associative
LCM of 5425 and 5430 = LCM of 5430 and 5425
1. What is the LCM of 5425 and 5430?
Answer: LCM of 5425 and 5430 is 5891550.
2. What are the Factors of 5425?
Answer: Factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425. There are 12 integers that are factors of 5425. The greatest factor of 5425 is 5425.
3. What are the Factors of 5430?
Answer: Factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430. There are 16 integers that are factors of 5430. The greatest factor of 5430 is 5430.
4. How to Find the LCM of 5425 and 5430?
Answer:
Least Common Multiple of 5425 and 5430 = 5891550
Step 1: Find the prime factorization of 5425
5425 = 5 x 5 x 7 x 31
Step 2: Find the prime factorization of 5430
5430 = 2 x 3 x 5 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5891550 = 2 x 3 x 5 x 5 x 7 x 31 x 181
Step 4: Therefore, the least common multiple of 5425 and 5430 is 5891550.