Least Common Multiple of 7726 and 7731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7726 and 7731 the smallest integer that is 59729706 that is divisible by both numbers.

Least Common Multiple (LCM) of 7726 and 7731 is 59729706.

LCM(7726,7731) = 59729706

LCM of 7726 and 7731

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

LCM of:
and

Least Common Multiple of 7726 and 7731

LCM of 7726 and 7731 is 59729706

Least common multiple can be found by multiplying the highest exponent prime factors of 7726 and 7731. First we will calculate the prime factors of 7726 and 7731.

Prime Factorization of 7726


2 7726
3863 3863
1

Prime factors of 7726 are 2,3863. Prime factorization of 7726 in exponential form is:

7726 = 21×38631

Prime Factorization of 7731


3 7731
3 2577
859 859
1

Prime factors of 7731 are 3,859. Prime factorization of 7731 in exponential form is:

7731 = 32×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 7726 and 7731.

LCM(7726,7731) = 21×32×8591×38631
LCM(7726,7731) = 59729706

Factors of 7726

List of positive integer factors of 7726 that divides 7726 without a remainder.

1, 2, 3863, 7726

Factors of 7731

List of positive integer factors of 7731 that divides 7731 without a remainder.

1, 3, 9, 859, 2577, 7731

Least Common Multiple of 7726 and 7731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7726 and 7731, than apply into the LCM equation.

GCF(7726,7731) = 1
LCM(7726,7731) = ( 7726 × 7731) / 1
LCM(7726,7731) = 59729706 / 1
LCM(7726,7731) = 59729706

Properties of LCM 7726 and 7731

(i) The LCM of 7731 and 7726 is associative

LCM of 7726 and 7731 = LCM of 7731 and 7726

Related Least Common Multiples of 7726

Related Least Common Multiples of 7731

Frequently Asked Questions on LCM of 7726 and 7731

1. What is the LCM of 7726 and 7731?

Answer: LCM of 7726 and 7731 is 59729706.

2. What are the Factors of 7726?

Answer: Factors of 7726 are 1, 2, 3863, 7726. There are 4 integers that are factors of 7726. The greatest factor of 7726 is 7726.

3. What are the Factors of 7731?

Answer: Factors of 7731 are 1, 3, 9, 859, 2577, 7731. There are 6 integers that are factors of 7731. The greatest factor of 7731 is 7731.

4. How to Find the LCM of 7726 and 7731?

Answer:

Least Common Multiple of 7726 and 7731 = 59729706

Step 1: Find the prime factorization of 7726

7726 = 2 x 3863

Step 2: Find the prime factorization of 7731

7731 = 3 x 3 x 859

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

LCM = 59729706 = 2 x 3 x 3 x 859 x 3863

Step 4: Therefore, the least common multiple of 7726 and 7731 is 59729706.