Least Common Multiple of 7738 and 7740

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 7740 the smallest integer that is 29946060 that is divisible by both numbers.

Least Common Multiple (LCM) of 7738 and 7740 is 29946060.

LCM(7738,7740) = 29946060

LCM of 7738 and 7740

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

LCM of:
and

Least Common Multiple of 7738 and 7740

LCM of 7738 and 7740 is 29946060

Least common multiple can be found by multiplying the highest exponent prime factors of 7738 and 7740. First we will calculate the prime factors of 7738 and 7740.

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 7740


2 7740
2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 7740 are 2, 3, 5,43. Prime factorization of 7740 in exponential form is:

7740 = 22×32×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7738 and 7740.

LCM(7738,7740) = 22×32×51×431×531×731
LCM(7738,7740) = 29946060

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 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740

Least Common Multiple of 7738 and 7740 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 7740, than apply into the LCM equation.

GCF(7738,7740) = 2
LCM(7738,7740) = ( 7738 × 7740) / 2
LCM(7738,7740) = 59892120 / 2
LCM(7738,7740) = 29946060

Properties of LCM 7738 and 7740

(i) The LCM of 7740 and 7738 is associative

LCM of 7738 and 7740 = LCM of 7740 and 7738

Related Least Common Multiples of 7738

Related Least Common Multiples of 7740

Frequently Asked Questions on LCM of 7738 and 7740

1. What is the LCM of 7738 and 7740?

Answer: LCM of 7738 and 7740 is 29946060.

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 7740?

Answer: Factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740. There are 36 integers that are factors of 7740. The greatest factor of 7740 is 7740.

4. How to Find the LCM of 7738 and 7740?

Answer:

Least Common Multiple of 7738 and 7740 = 29946060

Step 1: Find the prime factorization of 7738

7738 = 2 x 53 x 73

Step 2: Find the prime factorization of 7740

7740 = 2 x 2 x 3 x 3 x 5 x 43

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

LCM = 29946060 = 2 x 2 x 3 x 3 x 5 x 43 x 53 x 73

Step 4: Therefore, the least common multiple of 7738 and 7740 is 29946060.