Least Common Multiple of 7686 and 7690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7686 and 7690 the smallest integer that is 29552670 that is divisible by both numbers.

Least Common Multiple (LCM) of 7686 and 7690 is 29552670.

LCM(7686,7690) = 29552670

LCM of 7686 and 7690

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

LCM of:
and

Least Common Multiple of 7686 and 7690

LCM of 7686 and 7690 is 29552670

Least common multiple can be found by multiplying the highest exponent prime factors of 7686 and 7690. First we will calculate the prime factors of 7686 and 7690.

Prime Factorization of 7686


2 7686
3 3843
3 1281
7 427
61 61
1

Prime factors of 7686 are 2, 3, 7,61. Prime factorization of 7686 in exponential form is:

7686 = 21×32×71×611

Prime Factorization of 7690


2 7690
5 3845
769 769
1

Prime factors of 7690 are 2, 5,769. Prime factorization of 7690 in exponential form is:

7690 = 21×51×7691

Now multiplying the highest exponent prime factors to calculate the LCM of 7686 and 7690.

LCM(7686,7690) = 21×32×51×71×611×7691
LCM(7686,7690) = 29552670

Factors of 7686

List of positive integer factors of 7686 that divides 7686 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686

Factors of 7690

List of positive integer factors of 7690 that divides 7690 without a remainder.

1, 2, 5, 10, 769, 1538, 3845, 7690

Least Common Multiple of 7686 and 7690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7686 and 7690, than apply into the LCM equation.

GCF(7686,7690) = 2
LCM(7686,7690) = ( 7686 × 7690) / 2
LCM(7686,7690) = 59105340 / 2
LCM(7686,7690) = 29552670

Properties of LCM 7686 and 7690

(i) The LCM of 7690 and 7686 is associative

LCM of 7686 and 7690 = LCM of 7690 and 7686

Related Least Common Multiples of 7686

Related Least Common Multiples of 7690

Frequently Asked Questions on LCM of 7686 and 7690

1. What is the LCM of 7686 and 7690?

Answer: LCM of 7686 and 7690 is 29552670.

2. What are the Factors of 7686?

Answer: Factors of 7686 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686. There are 24 integers that are factors of 7686. The greatest factor of 7686 is 7686.

3. What are the Factors of 7690?

Answer: Factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690. There are 8 integers that are factors of 7690. The greatest factor of 7690 is 7690.

4. How to Find the LCM of 7686 and 7690?

Answer:

Least Common Multiple of 7686 and 7690 = 29552670

Step 1: Find the prime factorization of 7686

7686 = 2 x 3 x 3 x 7 x 61

Step 2: Find the prime factorization of 7690

7690 = 2 x 5 x 769

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 29552670 = 2 x 3 x 3 x 5 x 7 x 61 x 769

Step 4: Therefore, the least common multiple of 7686 and 7690 is 29552670.