Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7666 and 7670 the smallest integer that is 29399110 that is divisible by both numbers.
Least Common Multiple (LCM) of 7666 and 7670 is 29399110.
LCM(7666,7670) = 29399110
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 7666 and 7670. First we will calculate the prime factors of 7666 and 7670.
Prime Factorization of 7666
2 | 7666 |
3833 | 3833 |
1 |
Prime factors of 7666 are 2,3833. Prime factorization of 7666 in exponential form is:
7666 = 21×38331
Prime Factorization of 7670
2 | 7670 |
5 | 3835 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 7670 are 2, 5, 13,59. Prime factorization of 7670 in exponential form is:
7670 = 21×51×131×591
Now multiplying the highest exponent prime factors to calculate the LCM of 7666 and 7670.
LCM(7666,7670) = 21×51×131×591×38331
LCM(7666,7670) = 29399110
Factors of 7666
List of positive integer factors of 7666 that divides 7666 without a remainder.
1, 2, 3833, 7666
Factors of 7670
List of positive integer factors of 7670 that divides 7670 without a remainder.
1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7666 and 7670, than apply into the LCM equation.
GCF(7666,7670) = 2
LCM(7666,7670) = ( 7666 × 7670) / 2
LCM(7666,7670) = 58798220 / 2
LCM(7666,7670) = 29399110
(i) The LCM of 7670 and 7666 is associative
LCM of 7666 and 7670 = LCM of 7670 and 7666
1. What is the LCM of 7666 and 7670?
Answer: LCM of 7666 and 7670 is 29399110.
2. What are the Factors of 7666?
Answer: Factors of 7666 are 1, 2, 3833, 7666. There are 4 integers that are factors of 7666. The greatest factor of 7666 is 7666.
3. What are the Factors of 7670?
Answer: Factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670. There are 16 integers that are factors of 7670. The greatest factor of 7670 is 7670.
4. How to Find the LCM of 7666 and 7670?
Answer:
Least Common Multiple of 7666 and 7670 = 29399110
Step 1: Find the prime factorization of 7666
7666 = 2 x 3833
Step 2: Find the prime factorization of 7670
7670 = 2 x 5 x 13 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29399110 = 2 x 5 x 13 x 59 x 3833
Step 4: Therefore, the least common multiple of 7666 and 7670 is 29399110.