Least Common Multiple of 7640 and 7645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7640 and 7645 the smallest integer that is 11681560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7640 and 7645 is 11681560.

LCM(7640,7645) = 11681560

LCM of 7640 and 7645

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

LCM of:
and

Least Common Multiple of 7640 and 7645

LCM of 7640 and 7645 is 11681560

Least common multiple can be found by multiplying the highest exponent prime factors of 7640 and 7645. First we will calculate the prime factors of 7640 and 7645.

Prime Factorization of 7640


2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 7640 are 2, 5,191. Prime factorization of 7640 in exponential form is:

7640 = 23×51×1911

Prime Factorization of 7645


5 7645
11 1529
139 139
1

Prime factors of 7645 are 5, 11,139. Prime factorization of 7645 in exponential form is:

7645 = 51×111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 7640 and 7645.

LCM(7640,7645) = 23×51×111×1391×1911
LCM(7640,7645) = 11681560

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640

Factors of 7645

List of positive integer factors of 7645 that divides 7645 without a remainder.

1, 5, 11, 55, 139, 695, 1529, 7645

Least Common Multiple of 7640 and 7645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7640 and 7645, than apply into the LCM equation.

GCF(7640,7645) = 5
LCM(7640,7645) = ( 7640 × 7645) / 5
LCM(7640,7645) = 58407800 / 5
LCM(7640,7645) = 11681560

Properties of LCM 7640 and 7645

(i) The LCM of 7645 and 7640 is associative

LCM of 7640 and 7645 = LCM of 7645 and 7640

Related Least Common Multiples of 7640

Related Least Common Multiples of 7645

Frequently Asked Questions on LCM of 7640 and 7645

1. What is the LCM of 7640 and 7645?

Answer: LCM of 7640 and 7645 is 11681560.

2. What are the Factors of 7640?

Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.

3. What are the Factors of 7645?

Answer: Factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645. There are 8 integers that are factors of 7645. The greatest factor of 7645 is 7645.

4. How to Find the LCM of 7640 and 7645?

Answer:

Least Common Multiple of 7640 and 7645 = 11681560

Step 1: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

Step 2: Find the prime factorization of 7645

7645 = 5 x 11 x 139

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

LCM = 11681560 = 2 x 2 x 2 x 5 x 11 x 139 x 191

Step 4: Therefore, the least common multiple of 7640 and 7645 is 11681560.