Least Common Multiple of 7724 and 7732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7724 and 7732 the smallest integer that is 14930492 that is divisible by both numbers.

Least Common Multiple (LCM) of 7724 and 7732 is 14930492.

LCM(7724,7732) = 14930492

LCM of 7724 and 7732

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

LCM of:
and

Least Common Multiple of 7724 and 7732

LCM of 7724 and 7732 is 14930492

Least common multiple can be found by multiplying the highest exponent prime factors of 7724 and 7732. First we will calculate the prime factors of 7724 and 7732.

Prime Factorization of 7724


2 7724
2 3862
1931 1931
1

Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:

7724 = 22×19311

Prime Factorization of 7732


2 7732
2 3866
1933 1933
1

Prime factors of 7732 are 2,1933. Prime factorization of 7732 in exponential form is:

7732 = 22×19331

Now multiplying the highest exponent prime factors to calculate the LCM of 7724 and 7732.

LCM(7724,7732) = 22×19311×19331
LCM(7724,7732) = 14930492

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1, 2, 4, 1931, 3862, 7724

Factors of 7732

List of positive integer factors of 7732 that divides 7732 without a remainder.

1, 2, 4, 1933, 3866, 7732

Least Common Multiple of 7724 and 7732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7724 and 7732, than apply into the LCM equation.

GCF(7724,7732) = 4
LCM(7724,7732) = ( 7724 × 7732) / 4
LCM(7724,7732) = 59721968 / 4
LCM(7724,7732) = 14930492

Properties of LCM 7724 and 7732

(i) The LCM of 7732 and 7724 is associative

LCM of 7724 and 7732 = LCM of 7732 and 7724

Related Least Common Multiples of 7724

Related Least Common Multiples of 7732

Frequently Asked Questions on LCM of 7724 and 7732

1. What is the LCM of 7724 and 7732?

Answer: LCM of 7724 and 7732 is 14930492.

2. What are the Factors of 7724?

Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.

3. What are the Factors of 7732?

Answer: Factors of 7732 are 1, 2, 4, 1933, 3866, 7732. There are 6 integers that are factors of 7732. The greatest factor of 7732 is 7732.

4. How to Find the LCM of 7724 and 7732?

Answer:

Least Common Multiple of 7724 and 7732 = 14930492

Step 1: Find the prime factorization of 7724

7724 = 2 x 2 x 1931

Step 2: Find the prime factorization of 7732

7732 = 2 x 2 x 1933

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

LCM = 14930492 = 2 x 2 x 1931 x 1933

Step 4: Therefore, the least common multiple of 7724 and 7732 is 14930492.