Least Common Multiple of 7678 and 7683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7678 and 7683 the smallest integer that is 58990074 that is divisible by both numbers.

Least Common Multiple (LCM) of 7678 and 7683 is 58990074.

LCM(7678,7683) = 58990074

LCM of 7678 and 7683

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

LCM of:
and

Least Common Multiple of 7678 and 7683

LCM of 7678 and 7683 is 58990074

Least common multiple can be found by multiplying the highest exponent prime factors of 7678 and 7683. First we will calculate the prime factors of 7678 and 7683.

Prime Factorization of 7678


2 7678
11 3839
349 349
1

Prime factors of 7678 are 2, 11,349. Prime factorization of 7678 in exponential form is:

7678 = 21×111×3491

Prime Factorization of 7683


3 7683
13 2561
197 197
1

Prime factors of 7683 are 3, 13,197. Prime factorization of 7683 in exponential form is:

7683 = 31×131×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7678 and 7683.

LCM(7678,7683) = 21×31×111×131×1971×3491
LCM(7678,7683) = 58990074

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1, 2, 11, 22, 349, 698, 3839, 7678

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1, 3, 13, 39, 197, 591, 2561, 7683

Least Common Multiple of 7678 and 7683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7678 and 7683, than apply into the LCM equation.

GCF(7678,7683) = 1
LCM(7678,7683) = ( 7678 × 7683) / 1
LCM(7678,7683) = 58990074 / 1
LCM(7678,7683) = 58990074

Properties of LCM 7678 and 7683

(i) The LCM of 7683 and 7678 is associative

LCM of 7678 and 7683 = LCM of 7683 and 7678

Related Least Common Multiples of 7678

Related Least Common Multiples of 7683

Frequently Asked Questions on LCM of 7678 and 7683

1. What is the LCM of 7678 and 7683?

Answer: LCM of 7678 and 7683 is 58990074.

2. What are the Factors of 7678?

Answer: Factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678. There are 8 integers that are factors of 7678. The greatest factor of 7678 is 7678.

3. What are the Factors of 7683?

Answer: Factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683. There are 8 integers that are factors of 7683. The greatest factor of 7683 is 7683.

4. How to Find the LCM of 7678 and 7683?

Answer:

Least Common Multiple of 7678 and 7683 = 58990074

Step 1: Find the prime factorization of 7678

7678 = 2 x 11 x 349

Step 2: Find the prime factorization of 7683

7683 = 3 x 13 x 197

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

LCM = 58990074 = 2 x 3 x 11 x 13 x 197 x 349

Step 4: Therefore, the least common multiple of 7678 and 7683 is 58990074.