Least Common Multiple of 7730 and 7733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7730 and 7733 the smallest integer that is 59776090 that is divisible by both numbers.

Least Common Multiple (LCM) of 7730 and 7733 is 59776090.

LCM(7730,7733) = 59776090

LCM of 7730 and 7733

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

LCM of:
and

Least Common Multiple of 7730 and 7733

LCM of 7730 and 7733 is 59776090

Least common multiple can be found by multiplying the highest exponent prime factors of 7730 and 7733. First we will calculate the prime factors of 7730 and 7733.

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

Prime Factorization of 7733


11 7733
19 703
37 37
1

Prime factors of 7733 are 11, 19,37. Prime factorization of 7733 in exponential form is:

7733 = 111×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 7730 and 7733.

LCM(7730,7733) = 21×51×111×191×371×7731
LCM(7730,7733) = 59776090

Factors of 7730

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

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

Factors of 7733

List of positive integer factors of 7733 that divides 7733 without a remainder.

1, 11, 19, 37, 209, 407, 703, 7733

Least Common Multiple of 7730 and 7733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7730 and 7733, than apply into the LCM equation.

GCF(7730,7733) = 1
LCM(7730,7733) = ( 7730 × 7733) / 1
LCM(7730,7733) = 59776090 / 1
LCM(7730,7733) = 59776090

Properties of LCM 7730 and 7733

(i) The LCM of 7733 and 7730 is associative

LCM of 7730 and 7733 = LCM of 7733 and 7730

Related Least Common Multiples of 7730

Related Least Common Multiples of 7733

Frequently Asked Questions on LCM of 7730 and 7733

1. What is the LCM of 7730 and 7733?

Answer: LCM of 7730 and 7733 is 59776090.

2. 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.

3. What are the Factors of 7733?

Answer: Factors of 7733 are 1, 11, 19, 37, 209, 407, 703, 7733. There are 8 integers that are factors of 7733. The greatest factor of 7733 is 7733.

4. How to Find the LCM of 7730 and 7733?

Answer:

Least Common Multiple of 7730 and 7733 = 59776090

Step 1: Find the prime factorization of 7730

7730 = 2 x 5 x 773

Step 2: Find the prime factorization of 7733

7733 = 11 x 19 x 37

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

LCM = 59776090 = 2 x 5 x 11 x 19 x 37 x 773

Step 4: Therefore, the least common multiple of 7730 and 7733 is 59776090.