Least Common Multiple of 7746 and 7753

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 7753 the smallest integer that is 60054738 that is divisible by both numbers.

Least Common Multiple (LCM) of 7746 and 7753 is 60054738.

LCM(7746,7753) = 60054738

LCM of 7746 and 7753

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

LCM of:
and

Least Common Multiple of 7746 and 7753

LCM of 7746 and 7753 is 60054738

Least common multiple can be found by multiplying the highest exponent prime factors of 7746 and 7753. First we will calculate the prime factors of 7746 and 7753.

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 7753


7753 7753
1

Prime factors of 7753 are 7753. Prime factorization of 7753 in exponential form is:

7753 = 77531

Now multiplying the highest exponent prime factors to calculate the LCM of 7746 and 7753.

LCM(7746,7753) = 21×31×12911×77531
LCM(7746,7753) = 60054738

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 7753

List of positive integer factors of 7753 that divides 7753 without a remainder.

1, 7753

Least Common Multiple of 7746 and 7753 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 7753, than apply into the LCM equation.

GCF(7746,7753) = 1
LCM(7746,7753) = ( 7746 × 7753) / 1
LCM(7746,7753) = 60054738 / 1
LCM(7746,7753) = 60054738

Properties of LCM 7746 and 7753

(i) The LCM of 7753 and 7746 is associative

LCM of 7746 and 7753 = LCM of 7753 and 7746

Related Least Common Multiples of 7746

Related Least Common Multiples of 7753

Frequently Asked Questions on LCM of 7746 and 7753

1. What is the LCM of 7746 and 7753?

Answer: LCM of 7746 and 7753 is 60054738.

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 7753?

Answer: Factors of 7753 are 1, 7753. There are 2 integers that are factors of 7753. The greatest factor of 7753 is 7753.

4. How to Find the LCM of 7746 and 7753?

Answer:

Least Common Multiple of 7746 and 7753 = 60054738

Step 1: Find the prime factorization of 7746

7746 = 2 x 3 x 1291

Step 2: Find the prime factorization of 7753

7753 = 7753

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

LCM = 60054738 = 2 x 3 x 1291 x 7753

Step 4: Therefore, the least common multiple of 7746 and 7753 is 60054738.