Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5430 and 5438 the smallest integer that is 14764170 that is divisible by both numbers.
Least Common Multiple (LCM) of 5430 and 5438 is 14764170.
LCM(5430,5438) = 14764170
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 5430 and 5438. First we will calculate the prime factors of 5430 and 5438.
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
Prime Factorization of 5438
2 | 5438 |
2719 | 2719 |
1 |
Prime factors of 5438 are 2,2719. Prime factorization of 5438 in exponential form is:
5438 = 21×27191
Now multiplying the highest exponent prime factors to calculate the LCM of 5430 and 5438.
LCM(5430,5438) = 21×31×51×1811×27191
LCM(5430,5438) = 14764170
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
Factors of 5438
List of positive integer factors of 5438 that divides 5438 without a remainder.
1, 2, 2719, 5438
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5430 and 5438, than apply into the LCM equation.
GCF(5430,5438) = 2
LCM(5430,5438) = ( 5430 × 5438) / 2
LCM(5430,5438) = 29528340 / 2
LCM(5430,5438) = 14764170
(i) The LCM of 5438 and 5430 is associative
LCM of 5430 and 5438 = LCM of 5438 and 5430
1. What is the LCM of 5430 and 5438?
Answer: LCM of 5430 and 5438 is 14764170.
2. 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.
3. What are the Factors of 5438?
Answer: Factors of 5438 are 1, 2, 2719, 5438. There are 4 integers that are factors of 5438. The greatest factor of 5438 is 5438.
4. How to Find the LCM of 5430 and 5438?
Answer:
Least Common Multiple of 5430 and 5438 = 14764170
Step 1: Find the prime factorization of 5430
5430 = 2 x 3 x 5 x 181
Step 2: Find the prime factorization of 5438
5438 = 2 x 2719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14764170 = 2 x 3 x 5 x 181 x 2719
Step 4: Therefore, the least common multiple of 5430 and 5438 is 14764170.