Least Common Multiple of 7665 and 7670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7665 and 7670 the smallest integer that is 11758110 that is divisible by both numbers.

Least Common Multiple (LCM) of 7665 and 7670 is 11758110.

LCM(7665,7670) = 11758110

LCM of 7665 and 7670

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7665 and 7670

LCM of 7665 and 7670 is 11758110

Least common multiple can be found by multiplying the highest exponent prime factors of 7665 and 7670. First we will calculate the prime factors of 7665 and 7670.

Prime Factorization of 7665


3 7665
5 2555
7 511
73 73
1

Prime factors of 7665 are 3, 5, 7,73. Prime factorization of 7665 in exponential form is:

7665 = 31×51×71×731

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 7665 and 7670.

LCM(7665,7670) = 21×31×51×71×131×591×731
LCM(7665,7670) = 11758110

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665

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

Least Common Multiple of 7665 and 7670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7665 and 7670, than apply into the LCM equation.

GCF(7665,7670) = 5
LCM(7665,7670) = ( 7665 × 7670) / 5
LCM(7665,7670) = 58790550 / 5
LCM(7665,7670) = 11758110

Properties of LCM 7665 and 7670

(i) The LCM of 7670 and 7665 is associative

LCM of 7665 and 7670 = LCM of 7670 and 7665

Related Least Common Multiples of 7665

Related Least Common Multiples of 7670

Frequently Asked Questions on LCM of 7665 and 7670

1. What is the LCM of 7665 and 7670?

Answer: LCM of 7665 and 7670 is 11758110.

2. What are the Factors of 7665?

Answer: Factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665. There are 16 integers that are factors of 7665. The greatest factor of 7665 is 7665.

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 7665 and 7670?

Answer:

Least Common Multiple of 7665 and 7670 = 11758110

Step 1: Find the prime factorization of 7665

7665 = 3 x 5 x 7 x 73

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 = 11758110 = 2 x 3 x 5 x 7 x 13 x 59 x 73

Step 4: Therefore, the least common multiple of 7665 and 7670 is 11758110.