Least Common Multiple of 7640 and 7646

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 7646 the smallest integer that is 29207720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7640 and 7646 is 29207720.

LCM(7640,7646) = 29207720

LCM of 7640 and 7646

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

LCM of:
and

Least Common Multiple of 7640 and 7646

LCM of 7640 and 7646 is 29207720

Least common multiple can be found by multiplying the highest exponent prime factors of 7640 and 7646. First we will calculate the prime factors of 7640 and 7646.

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 7646


2 7646
3823 3823
1

Prime factors of 7646 are 2,3823. Prime factorization of 7646 in exponential form is:

7646 = 21×38231

Now multiplying the highest exponent prime factors to calculate the LCM of 7640 and 7646.

LCM(7640,7646) = 23×51×1911×38231
LCM(7640,7646) = 29207720

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 7646

List of positive integer factors of 7646 that divides 7646 without a remainder.

1, 2, 3823, 7646

Least Common Multiple of 7640 and 7646 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 7646, than apply into the LCM equation.

GCF(7640,7646) = 2
LCM(7640,7646) = ( 7640 × 7646) / 2
LCM(7640,7646) = 58415440 / 2
LCM(7640,7646) = 29207720

Properties of LCM 7640 and 7646

(i) The LCM of 7646 and 7640 is associative

LCM of 7640 and 7646 = LCM of 7646 and 7640

Related Least Common Multiples of 7640

Related Least Common Multiples of 7646

Frequently Asked Questions on LCM of 7640 and 7646

1. What is the LCM of 7640 and 7646?

Answer: LCM of 7640 and 7646 is 29207720.

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 7646?

Answer: Factors of 7646 are 1, 2, 3823, 7646. There are 4 integers that are factors of 7646. The greatest factor of 7646 is 7646.

4. How to Find the LCM of 7640 and 7646?

Answer:

Least Common Multiple of 7640 and 7646 = 29207720

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 7646

7646 = 2 x 3823

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

LCM = 29207720 = 2 x 2 x 2 x 5 x 191 x 3823

Step 4: Therefore, the least common multiple of 7640 and 7646 is 29207720.