Least Common Multiple of 7687 and 7694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7687 and 7694 the smallest integer that is 59143778 that is divisible by both numbers.

Least Common Multiple (LCM) of 7687 and 7694 is 59143778.

LCM(7687,7694) = 59143778

LCM of 7687 and 7694

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

LCM of:
and

Least Common Multiple of 7687 and 7694

LCM of 7687 and 7694 is 59143778

Least common multiple can be found by multiplying the highest exponent prime factors of 7687 and 7694. First we will calculate the prime factors of 7687 and 7694.

Prime Factorization of 7687


7687 7687
1

Prime factors of 7687 are 7687. Prime factorization of 7687 in exponential form is:

7687 = 76871

Prime Factorization of 7694


2 7694
3847 3847
1

Prime factors of 7694 are 2,3847. Prime factorization of 7694 in exponential form is:

7694 = 21×38471

Now multiplying the highest exponent prime factors to calculate the LCM of 7687 and 7694.

LCM(7687,7694) = 21×38471×76871
LCM(7687,7694) = 59143778

Factors of 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1, 7687

Factors of 7694

List of positive integer factors of 7694 that divides 7694 without a remainder.

1, 2, 3847, 7694

Least Common Multiple of 7687 and 7694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7687 and 7694, than apply into the LCM equation.

GCF(7687,7694) = 1
LCM(7687,7694) = ( 7687 × 7694) / 1
LCM(7687,7694) = 59143778 / 1
LCM(7687,7694) = 59143778

Properties of LCM 7687 and 7694

(i) The LCM of 7694 and 7687 is associative

LCM of 7687 and 7694 = LCM of 7694 and 7687

Related Least Common Multiples of 7687

Related Least Common Multiples of 7694

Frequently Asked Questions on LCM of 7687 and 7694

1. What is the LCM of 7687 and 7694?

Answer: LCM of 7687 and 7694 is 59143778.

2. What are the Factors of 7687?

Answer: Factors of 7687 are 1, 7687. There are 2 integers that are factors of 7687. The greatest factor of 7687 is 7687.

3. What are the Factors of 7694?

Answer: Factors of 7694 are 1, 2, 3847, 7694. There are 4 integers that are factors of 7694. The greatest factor of 7694 is 7694.

4. How to Find the LCM of 7687 and 7694?

Answer:

Least Common Multiple of 7687 and 7694 = 59143778

Step 1: Find the prime factorization of 7687

7687 = 7687

Step 2: Find the prime factorization of 7694

7694 = 2 x 3847

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

LCM = 59143778 = 2 x 3847 x 7687

Step 4: Therefore, the least common multiple of 7687 and 7694 is 59143778.