Least Common Multiple of 7746 and 7754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7746 and 7754 the smallest integer that is 30031242 that is divisible by both numbers.

Least Common Multiple (LCM) of 7746 and 7754 is 30031242.

LCM(7746,7754) = 30031242

LCM of 7746 and 7754

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

LCM of:
and

Least Common Multiple of 7746 and 7754

LCM of 7746 and 7754 is 30031242

Least common multiple can be found by multiplying the highest exponent prime factors of 7746 and 7754. First we will calculate the prime factors of 7746 and 7754.

Prime Factorization of 7746


2 7746
3 3873
1291 1291
1

Prime factors of 7746 are 2, 3,1291. Prime factorization of 7746 in exponential form is:

7746 = 21×31×12911

Prime Factorization of 7754


2 7754
3877 3877
1

Prime factors of 7754 are 2,3877. Prime factorization of 7754 in exponential form is:

7754 = 21×38771

Now multiplying the highest exponent prime factors to calculate the LCM of 7746 and 7754.

LCM(7746,7754) = 21×31×12911×38771
LCM(7746,7754) = 30031242

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1, 2, 3, 6, 1291, 2582, 3873, 7746

Factors of 7754

List of positive integer factors of 7754 that divides 7754 without a remainder.

1, 2, 3877, 7754

Least Common Multiple of 7746 and 7754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7746 and 7754, than apply into the LCM equation.

GCF(7746,7754) = 2
LCM(7746,7754) = ( 7746 × 7754) / 2
LCM(7746,7754) = 60062484 / 2
LCM(7746,7754) = 30031242

Properties of LCM 7746 and 7754

(i) The LCM of 7754 and 7746 is associative

LCM of 7746 and 7754 = LCM of 7754 and 7746

Related Least Common Multiples of 7746

Related Least Common Multiples of 7754

Frequently Asked Questions on LCM of 7746 and 7754

1. What is the LCM of 7746 and 7754?

Answer: LCM of 7746 and 7754 is 30031242.

2. What are the Factors of 7746?

Answer: Factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746. There are 8 integers that are factors of 7746. The greatest factor of 7746 is 7746.

3. What are the Factors of 7754?

Answer: Factors of 7754 are 1, 2, 3877, 7754. There are 4 integers that are factors of 7754. The greatest factor of 7754 is 7754.

4. How to Find the LCM of 7746 and 7754?

Answer:

Least Common Multiple of 7746 and 7754 = 30031242

Step 1: Find the prime factorization of 7746

7746 = 2 x 3 x 1291

Step 2: Find the prime factorization of 7754

7754 = 2 x 3877

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

LCM = 30031242 = 2 x 3 x 1291 x 3877

Step 4: Therefore, the least common multiple of 7746 and 7754 is 30031242.