Least Common Multiple of 7745 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 7745 and 7753 the smallest integer that is 60046985 that is divisible by both numbers.

Least Common Multiple (LCM) of 7745 and 7753 is 60046985.

LCM(7745,7753) = 60046985

LCM of 7745 and 7753

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

LCM of:
and

Least Common Multiple of 7745 and 7753

LCM of 7745 and 7753 is 60046985

Least common multiple can be found by multiplying the highest exponent prime factors of 7745 and 7753. First we will calculate the prime factors of 7745 and 7753.

Prime Factorization of 7745


5 7745
1549 1549
1

Prime factors of 7745 are 5,1549. Prime factorization of 7745 in exponential form is:

7745 = 51×15491

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 7745 and 7753.

LCM(7745,7753) = 51×15491×77531
LCM(7745,7753) = 60046985

Factors of 7745

List of positive integer factors of 7745 that divides 7745 without a remainder.

1, 5, 1549, 7745

Factors of 7753

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

1, 7753

Least Common Multiple of 7745 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 7745 and 7753, than apply into the LCM equation.

GCF(7745,7753) = 1
LCM(7745,7753) = ( 7745 × 7753) / 1
LCM(7745,7753) = 60046985 / 1
LCM(7745,7753) = 60046985

Properties of LCM 7745 and 7753

(i) The LCM of 7753 and 7745 is associative

LCM of 7745 and 7753 = LCM of 7753 and 7745

Related Least Common Multiples of 7745

Related Least Common Multiples of 7753

Frequently Asked Questions on LCM of 7745 and 7753

1. What is the LCM of 7745 and 7753?

Answer: LCM of 7745 and 7753 is 60046985.

2. What are the Factors of 7745?

Answer: Factors of 7745 are 1, 5, 1549, 7745. There are 4 integers that are factors of 7745. The greatest factor of 7745 is 7745.

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 7745 and 7753?

Answer:

Least Common Multiple of 7745 and 7753 = 60046985

Step 1: Find the prime factorization of 7745

7745 = 5 x 1549

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 = 60046985 = 5 x 1549 x 7753

Step 4: Therefore, the least common multiple of 7745 and 7753 is 60046985.