Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 610 and 613 the smallest integer that is 373930 that is divisible by both numbers.
Least Common Multiple (LCM) of 610 and 613 is 373930.
LCM(610,613) = 373930
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 610 and 613. First we will calculate the prime factors of 610 and 613.
Prime Factorization of 610
2 | 610 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 610 are 2, 5,61. Prime factorization of 610 in exponential form is:
610 = 21×51×611
Prime Factorization of 613
613 | 613 |
1 |
Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:
613 = 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 610 and 613.
LCM(610,613) = 21×51×611×6131
LCM(610,613) = 373930
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1, 613
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 610 and 613, than apply into the LCM equation.
GCF(610,613) = 1
LCM(610,613) = ( 610 × 613) / 1
LCM(610,613) = 373930 / 1
LCM(610,613) = 373930
(i) The LCM of 613 and 610 is associative
LCM of 610 and 613 = LCM of 613 and 610
1. What is the LCM of 610 and 613?
Answer: LCM of 610 and 613 is 373930.
2. What are the Factors of 610?
Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.
3. What are the Factors of 613?
Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.
4. How to Find the LCM of 610 and 613?
Answer:
Least Common Multiple of 610 and 613 = 373930
Step 1: Find the prime factorization of 610
610 = 2 x 5 x 61
Step 2: Find the prime factorization of 613
613 = 613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 373930 = 2 x 5 x 61 x 613
Step 4: Therefore, the least common multiple of 610 and 613 is 373930.