Least Common Multiple of 7723 and 7730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7723 and 7730 the smallest integer that is 59698790 that is divisible by both numbers.

Least Common Multiple (LCM) of 7723 and 7730 is 59698790.

LCM(7723,7730) = 59698790

LCM of 7723 and 7730

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

LCM of:
and

Least Common Multiple of 7723 and 7730

LCM of 7723 and 7730 is 59698790

Least common multiple can be found by multiplying the highest exponent prime factors of 7723 and 7730. First we will calculate the prime factors of 7723 and 7730.

Prime Factorization of 7723


7723 7723
1

Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:

7723 = 77231

Prime Factorization of 7730


2 7730
5 3865
773 773
1

Prime factors of 7730 are 2, 5,773. Prime factorization of 7730 in exponential form is:

7730 = 21×51×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 7723 and 7730.

LCM(7723,7730) = 21×51×7731×77231
LCM(7723,7730) = 59698790

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1, 7723

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1, 2, 5, 10, 773, 1546, 3865, 7730

Least Common Multiple of 7723 and 7730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7723 and 7730, than apply into the LCM equation.

GCF(7723,7730) = 1
LCM(7723,7730) = ( 7723 × 7730) / 1
LCM(7723,7730) = 59698790 / 1
LCM(7723,7730) = 59698790

Properties of LCM 7723 and 7730

(i) The LCM of 7730 and 7723 is associative

LCM of 7723 and 7730 = LCM of 7730 and 7723

Related Least Common Multiples of 7723

Related Least Common Multiples of 7730

Frequently Asked Questions on LCM of 7723 and 7730

1. What is the LCM of 7723 and 7730?

Answer: LCM of 7723 and 7730 is 59698790.

2. What are the Factors of 7723?

Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.

3. What are the Factors of 7730?

Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.

4. How to Find the LCM of 7723 and 7730?

Answer:

Least Common Multiple of 7723 and 7730 = 59698790

Step 1: Find the prime factorization of 7723

7723 = 7723

Step 2: Find the prime factorization of 7730

7730 = 2 x 5 x 773

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

LCM = 59698790 = 2 x 5 x 773 x 7723

Step 4: Therefore, the least common multiple of 7723 and 7730 is 59698790.