Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5900 and 5905 the smallest integer that is 6967900 that is divisible by both numbers.
Least Common Multiple (LCM) of 5900 and 5905 is 6967900.
LCM(5900,5905) = 6967900
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 5900 and 5905. First we will calculate the prime factors of 5900 and 5905.
Prime Factorization of 5900
2 | 5900 |
2 | 2950 |
5 | 1475 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 5900 are 2, 5,59. Prime factorization of 5900 in exponential form is:
5900 = 22×52×591
Prime Factorization of 5905
5 | 5905 |
1181 | 1181 |
1 |
Prime factors of 5905 are 5,1181. Prime factorization of 5905 in exponential form is:
5905 = 51×11811
Now multiplying the highest exponent prime factors to calculate the LCM of 5900 and 5905.
LCM(5900,5905) = 22×52×591×11811
LCM(5900,5905) = 6967900
Factors of 5900
List of positive integer factors of 5900 that divides 5900 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900
Factors of 5905
List of positive integer factors of 5905 that divides 5905 without a remainder.
1, 5, 1181, 5905
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5900 and 5905, than apply into the LCM equation.
GCF(5900,5905) = 5
LCM(5900,5905) = ( 5900 × 5905) / 5
LCM(5900,5905) = 34839500 / 5
LCM(5900,5905) = 6967900
(i) The LCM of 5905 and 5900 is associative
LCM of 5900 and 5905 = LCM of 5905 and 5900
1. What is the LCM of 5900 and 5905?
Answer: LCM of 5900 and 5905 is 6967900.
2. What are the Factors of 5900?
Answer: Factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900. There are 18 integers that are factors of 5900. The greatest factor of 5900 is 5900.
3. What are the Factors of 5905?
Answer: Factors of 5905 are 1, 5, 1181, 5905. There are 4 integers that are factors of 5905. The greatest factor of 5905 is 5905.
4. How to Find the LCM of 5900 and 5905?
Answer:
Least Common Multiple of 5900 and 5905 = 6967900
Step 1: Find the prime factorization of 5900
5900 = 2 x 2 x 5 x 5 x 59
Step 2: Find the prime factorization of 5905
5905 = 5 x 1181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6967900 = 2 x 2 x 5 x 5 x 59 x 1181
Step 4: Therefore, the least common multiple of 5900 and 5905 is 6967900.