Least Common Multiple of 7640 and 7644

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 7644 the smallest integer that is 14600040 that is divisible by both numbers.

Least Common Multiple (LCM) of 7640 and 7644 is 14600040.

LCM(7640,7644) = 14600040

LCM of 7640 and 7644

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

LCM of:
and

Least Common Multiple of 7640 and 7644

LCM of 7640 and 7644 is 14600040

Least common multiple can be found by multiplying the highest exponent prime factors of 7640 and 7644. First we will calculate the prime factors of 7640 and 7644.

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 7644


2 7644
2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 7644 are 2, 3, 7,13. Prime factorization of 7644 in exponential form is:

7644 = 22×31×72×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7640 and 7644.

LCM(7640,7644) = 23×31×51×72×131×1911
LCM(7640,7644) = 14600040

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 7644

List of positive integer factors of 7644 that divides 7644 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644

Least Common Multiple of 7640 and 7644 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 7644, than apply into the LCM equation.

GCF(7640,7644) = 4
LCM(7640,7644) = ( 7640 × 7644) / 4
LCM(7640,7644) = 58400160 / 4
LCM(7640,7644) = 14600040

Properties of LCM 7640 and 7644

(i) The LCM of 7644 and 7640 is associative

LCM of 7640 and 7644 = LCM of 7644 and 7640

Related Least Common Multiples of 7640

Related Least Common Multiples of 7644

Frequently Asked Questions on LCM of 7640 and 7644

1. What is the LCM of 7640 and 7644?

Answer: LCM of 7640 and 7644 is 14600040.

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 7644?

Answer: Factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644. There are 36 integers that are factors of 7644. The greatest factor of 7644 is 7644.

4. How to Find the LCM of 7640 and 7644?

Answer:

Least Common Multiple of 7640 and 7644 = 14600040

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 7644

7644 = 2 x 2 x 3 x 7 x 7 x 13

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

LCM = 14600040 = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 x 191

Step 4: Therefore, the least common multiple of 7640 and 7644 is 14600040.