Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7610 and 7618 the smallest integer that is 28986490 that is divisible by both numbers.
Least Common Multiple (LCM) of 7610 and 7618 is 28986490.
LCM(7610,7618) = 28986490
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 7610 and 7618. First we will calculate the prime factors of 7610 and 7618.
Prime Factorization of 7610
2 | 7610 |
5 | 3805 |
761 | 761 |
1 |
Prime factors of 7610 are 2, 5,761. Prime factorization of 7610 in exponential form is:
7610 = 21×51×7611
Prime Factorization of 7618
2 | 7618 |
13 | 3809 |
293 | 293 |
1 |
Prime factors of 7618 are 2, 13,293. Prime factorization of 7618 in exponential form is:
7618 = 21×131×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 7610 and 7618.
LCM(7610,7618) = 21×51×131×2931×7611
LCM(7610,7618) = 28986490
Factors of 7610
List of positive integer factors of 7610 that divides 7610 without a remainder.
1, 2, 5, 10, 761, 1522, 3805, 7610
Factors of 7618
List of positive integer factors of 7618 that divides 7618 without a remainder.
1, 2, 13, 26, 293, 586, 3809, 7618
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7610 and 7618, than apply into the LCM equation.
GCF(7610,7618) = 2
LCM(7610,7618) = ( 7610 × 7618) / 2
LCM(7610,7618) = 57972980 / 2
LCM(7610,7618) = 28986490
(i) The LCM of 7618 and 7610 is associative
LCM of 7610 and 7618 = LCM of 7618 and 7610
1. What is the LCM of 7610 and 7618?
Answer: LCM of 7610 and 7618 is 28986490.
2. What are the Factors of 7610?
Answer: Factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610. There are 8 integers that are factors of 7610. The greatest factor of 7610 is 7610.
3. What are the Factors of 7618?
Answer: Factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618. There are 8 integers that are factors of 7618. The greatest factor of 7618 is 7618.
4. How to Find the LCM of 7610 and 7618?
Answer:
Least Common Multiple of 7610 and 7618 = 28986490
Step 1: Find the prime factorization of 7610
7610 = 2 x 5 x 761
Step 2: Find the prime factorization of 7618
7618 = 2 x 13 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28986490 = 2 x 5 x 13 x 293 x 761
Step 4: Therefore, the least common multiple of 7610 and 7618 is 28986490.