Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5350 and 5354 the smallest integer that is 14321950 that is divisible by both numbers.
Least Common Multiple (LCM) of 5350 and 5354 is 14321950.
LCM(5350,5354) = 14321950
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 5350 and 5354. First we will calculate the prime factors of 5350 and 5354.
Prime Factorization of 5350
2 | 5350 |
5 | 2675 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 5350 are 2, 5,107. Prime factorization of 5350 in exponential form is:
5350 = 21×52×1071
Prime Factorization of 5354
2 | 5354 |
2677 | 2677 |
1 |
Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:
5354 = 21×26771
Now multiplying the highest exponent prime factors to calculate the LCM of 5350 and 5354.
LCM(5350,5354) = 21×52×1071×26771
LCM(5350,5354) = 14321950
Factors of 5350
List of positive integer factors of 5350 that divides 5350 without a remainder.
1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350
Factors of 5354
List of positive integer factors of 5354 that divides 5354 without a remainder.
1, 2, 2677, 5354
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5350 and 5354, than apply into the LCM equation.
GCF(5350,5354) = 2
LCM(5350,5354) = ( 5350 × 5354) / 2
LCM(5350,5354) = 28643900 / 2
LCM(5350,5354) = 14321950
(i) The LCM of 5354 and 5350 is associative
LCM of 5350 and 5354 = LCM of 5354 and 5350
1. What is the LCM of 5350 and 5354?
Answer: LCM of 5350 and 5354 is 14321950.
2. What are the Factors of 5350?
Answer: Factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350. There are 12 integers that are factors of 5350. The greatest factor of 5350 is 5350.
3. What are the Factors of 5354?
Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.
4. How to Find the LCM of 5350 and 5354?
Answer:
Least Common Multiple of 5350 and 5354 = 14321950
Step 1: Find the prime factorization of 5350
5350 = 2 x 5 x 5 x 107
Step 2: Find the prime factorization of 5354
5354 = 2 x 2677
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14321950 = 2 x 5 x 5 x 107 x 2677
Step 4: Therefore, the least common multiple of 5350 and 5354 is 14321950.