Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5090 and 5091 the smallest integer that is 25913190 that is divisible by both numbers.
Least Common Multiple (LCM) of 5090 and 5091 is 25913190.
LCM(5090,5091) = 25913190
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 5090 and 5091. First we will calculate the prime factors of 5090 and 5091.
Prime Factorization of 5090
2 | 5090 |
5 | 2545 |
509 | 509 |
1 |
Prime factors of 5090 are 2, 5,509. Prime factorization of 5090 in exponential form is:
5090 = 21×51×5091
Prime Factorization of 5091
3 | 5091 |
1697 | 1697 |
1 |
Prime factors of 5091 are 3,1697. Prime factorization of 5091 in exponential form is:
5091 = 31×16971
Now multiplying the highest exponent prime factors to calculate the LCM of 5090 and 5091.
LCM(5090,5091) = 21×31×51×5091×16971
LCM(5090,5091) = 25913190
Factors of 5090
List of positive integer factors of 5090 that divides 5090 without a remainder.
1, 2, 5, 10, 509, 1018, 2545, 5090
Factors of 5091
List of positive integer factors of 5091 that divides 5091 without a remainder.
1, 3, 1697, 5091
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5090 and 5091, than apply into the LCM equation.
GCF(5090,5091) = 1
LCM(5090,5091) = ( 5090 × 5091) / 1
LCM(5090,5091) = 25913190 / 1
LCM(5090,5091) = 25913190
(i) The LCM of 5091 and 5090 is associative
LCM of 5090 and 5091 = LCM of 5091 and 5090
1. What is the LCM of 5090 and 5091?
Answer: LCM of 5090 and 5091 is 25913190.
2. What are the Factors of 5090?
Answer: Factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090. There are 8 integers that are factors of 5090. The greatest factor of 5090 is 5090.
3. What are the Factors of 5091?
Answer: Factors of 5091 are 1, 3, 1697, 5091. There are 4 integers that are factors of 5091. The greatest factor of 5091 is 5091.
4. How to Find the LCM of 5090 and 5091?
Answer:
Least Common Multiple of 5090 and 5091 = 25913190
Step 1: Find the prime factorization of 5090
5090 = 2 x 5 x 509
Step 2: Find the prime factorization of 5091
5091 = 3 x 1697
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25913190 = 2 x 3 x 5 x 509 x 1697
Step 4: Therefore, the least common multiple of 5090 and 5091 is 25913190.