Least Common Multiple of 7732 and 7736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7732 and 7736 the smallest integer that is 14953688 that is divisible by both numbers.

Least Common Multiple (LCM) of 7732 and 7736 is 14953688.

LCM(7732,7736) = 14953688

LCM of 7732 and 7736

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

LCM of:
and

Least Common Multiple of 7732 and 7736

LCM of 7732 and 7736 is 14953688

Least common multiple can be found by multiplying the highest exponent prime factors of 7732 and 7736. First we will calculate the prime factors of 7732 and 7736.

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

Prime Factorization of 7736


2 7736
2 3868
2 1934
967 967
1

Prime factors of 7736 are 2,967. Prime factorization of 7736 in exponential form is:

7736 = 23×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 7732 and 7736.

LCM(7732,7736) = 23×9671×19331
LCM(7732,7736) = 14953688

Factors of 7732

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

1, 2, 4, 1933, 3866, 7732

Factors of 7736

List of positive integer factors of 7736 that divides 7736 without a remainder.

1, 2, 4, 8, 967, 1934, 3868, 7736

Least Common Multiple of 7732 and 7736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7732 and 7736, than apply into the LCM equation.

GCF(7732,7736) = 4
LCM(7732,7736) = ( 7732 × 7736) / 4
LCM(7732,7736) = 59814752 / 4
LCM(7732,7736) = 14953688

Properties of LCM 7732 and 7736

(i) The LCM of 7736 and 7732 is associative

LCM of 7732 and 7736 = LCM of 7736 and 7732

Related Least Common Multiples of 7732

Related Least Common Multiples of 7736

Frequently Asked Questions on LCM of 7732 and 7736

1. What is the LCM of 7732 and 7736?

Answer: LCM of 7732 and 7736 is 14953688.

2. 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.

3. What are the Factors of 7736?

Answer: Factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736. There are 8 integers that are factors of 7736. The greatest factor of 7736 is 7736.

4. How to Find the LCM of 7732 and 7736?

Answer:

Least Common Multiple of 7732 and 7736 = 14953688

Step 1: Find the prime factorization of 7732

7732 = 2 x 2 x 1933

Step 2: Find the prime factorization of 7736

7736 = 2 x 2 x 2 x 967

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

LCM = 14953688 = 2 x 2 x 2 x 967 x 1933

Step 4: Therefore, the least common multiple of 7732 and 7736 is 14953688.