Least Common Multiple of 7753 and 7761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7753 and 7761 the smallest integer that is 60171033 that is divisible by both numbers.

Least Common Multiple (LCM) of 7753 and 7761 is 60171033.

LCM(7753,7761) = 60171033

LCM of 7753 and 7761

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

LCM of:
and

Least Common Multiple of 7753 and 7761

LCM of 7753 and 7761 is 60171033

Least common multiple can be found by multiplying the highest exponent prime factors of 7753 and 7761. First we will calculate the prime factors of 7753 and 7761.

Prime Factorization of 7753


7753 7753
1

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

7753 = 77531

Prime Factorization of 7761


3 7761
13 2587
199 199
1

Prime factors of 7761 are 3, 13,199. Prime factorization of 7761 in exponential form is:

7761 = 31×131×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7753 and 7761.

LCM(7753,7761) = 31×131×1991×77531
LCM(7753,7761) = 60171033

Factors of 7753

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

1, 7753

Factors of 7761

List of positive integer factors of 7761 that divides 7761 without a remainder.

1, 3, 13, 39, 199, 597, 2587, 7761

Least Common Multiple of 7753 and 7761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7753 and 7761, than apply into the LCM equation.

GCF(7753,7761) = 1
LCM(7753,7761) = ( 7753 × 7761) / 1
LCM(7753,7761) = 60171033 / 1
LCM(7753,7761) = 60171033

Properties of LCM 7753 and 7761

(i) The LCM of 7761 and 7753 is associative

LCM of 7753 and 7761 = LCM of 7761 and 7753

Related Least Common Multiples of 7753

Related Least Common Multiples of 7761

Frequently Asked Questions on LCM of 7753 and 7761

1. What is the LCM of 7753 and 7761?

Answer: LCM of 7753 and 7761 is 60171033.

2. 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.

3. What are the Factors of 7761?

Answer: Factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761. There are 8 integers that are factors of 7761. The greatest factor of 7761 is 7761.

4. How to Find the LCM of 7753 and 7761?

Answer:

Least Common Multiple of 7753 and 7761 = 60171033

Step 1: Find the prime factorization of 7753

7753 = 7753

Step 2: Find the prime factorization of 7761

7761 = 3 x 13 x 199

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

LCM = 60171033 = 3 x 13 x 199 x 7753

Step 4: Therefore, the least common multiple of 7753 and 7761 is 60171033.