Least Common Multiple of 7738 and 7743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7738 and 7743 the smallest integer that is 59915334 that is divisible by both numbers.

Least Common Multiple (LCM) of 7738 and 7743 is 59915334.

LCM(7738,7743) = 59915334

LCM of 7738 and 7743

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

LCM of:
and

Least Common Multiple of 7738 and 7743

LCM of 7738 and 7743 is 59915334

Least common multiple can be found by multiplying the highest exponent prime factors of 7738 and 7743. First we will calculate the prime factors of 7738 and 7743.

Prime Factorization of 7738


2 7738
53 3869
73 73
1

Prime factors of 7738 are 2, 53,73. Prime factorization of 7738 in exponential form is:

7738 = 21×531×731

Prime Factorization of 7743


3 7743
29 2581
89 89
1

Prime factors of 7743 are 3, 29,89. Prime factorization of 7743 in exponential form is:

7743 = 31×291×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7738 and 7743.

LCM(7738,7743) = 21×31×291×531×731×891
LCM(7738,7743) = 59915334

Factors of 7738

List of positive integer factors of 7738 that divides 7738 without a remainder.

1, 2, 53, 73, 106, 146, 3869, 7738

Factors of 7743

List of positive integer factors of 7743 that divides 7743 without a remainder.

1, 3, 29, 87, 89, 267, 2581, 7743

Least Common Multiple of 7738 and 7743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7738 and 7743, than apply into the LCM equation.

GCF(7738,7743) = 1
LCM(7738,7743) = ( 7738 × 7743) / 1
LCM(7738,7743) = 59915334 / 1
LCM(7738,7743) = 59915334

Properties of LCM 7738 and 7743

(i) The LCM of 7743 and 7738 is associative

LCM of 7738 and 7743 = LCM of 7743 and 7738

Related Least Common Multiples of 7738

Related Least Common Multiples of 7743

Frequently Asked Questions on LCM of 7738 and 7743

1. What is the LCM of 7738 and 7743?

Answer: LCM of 7738 and 7743 is 59915334.

2. What are the Factors of 7738?

Answer: Factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738. There are 8 integers that are factors of 7738. The greatest factor of 7738 is 7738.

3. What are the Factors of 7743?

Answer: Factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743. There are 8 integers that are factors of 7743. The greatest factor of 7743 is 7743.

4. How to Find the LCM of 7738 and 7743?

Answer:

Least Common Multiple of 7738 and 7743 = 59915334

Step 1: Find the prime factorization of 7738

7738 = 2 x 53 x 73

Step 2: Find the prime factorization of 7743

7743 = 3 x 29 x 89

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

LCM = 59915334 = 2 x 3 x 29 x 53 x 73 x 89

Step 4: Therefore, the least common multiple of 7738 and 7743 is 59915334.