Least Common Multiple of 9940 and 9944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9940 and 9944 the smallest integer that is 24710840 that is divisible by both numbers.

Least Common Multiple (LCM) of 9940 and 9944 is 24710840.

LCM(9940,9944) = 24710840

LCM of 9940 and 9944

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

LCM of:
and

Least Common Multiple of 9940 and 9944

LCM of 9940 and 9944 is 24710840

Least common multiple can be found by multiplying the highest exponent prime factors of 9940 and 9944. First we will calculate the prime factors of 9940 and 9944.

Prime Factorization of 9940


2 9940
2 4970
5 2485
7 497
71 71
1

Prime factors of 9940 are 2, 5, 7,71. Prime factorization of 9940 in exponential form is:

9940 = 22×51×71×711

Prime Factorization of 9944


2 9944
2 4972
2 2486
11 1243
113 113
1

Prime factors of 9944 are 2, 11,113. Prime factorization of 9944 in exponential form is:

9944 = 23×111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9940 and 9944.

LCM(9940,9944) = 23×51×71×111×711×1131
LCM(9940,9944) = 24710840

Factors of 9940

List of positive integer factors of 9940 that divides 9940 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940

Factors of 9944

List of positive integer factors of 9944 that divides 9944 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944

Least Common Multiple of 9940 and 9944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9940 and 9944, than apply into the LCM equation.

GCF(9940,9944) = 4
LCM(9940,9944) = ( 9940 × 9944) / 4
LCM(9940,9944) = 98843360 / 4
LCM(9940,9944) = 24710840

Properties of LCM 9940 and 9944

(i) The LCM of 9944 and 9940 is associative

LCM of 9940 and 9944 = LCM of 9944 and 9940

Related Least Common Multiples of 9940

Related Least Common Multiples of 9944

Frequently Asked Questions on LCM of 9940 and 9944

1. What is the LCM of 9940 and 9944?

Answer: LCM of 9940 and 9944 is 24710840.

2. What are the Factors of 9940?

Answer: Factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940. There are 24 integers that are factors of 9940. The greatest factor of 9940 is 9940.

3. What are the Factors of 9944?

Answer: Factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944. There are 16 integers that are factors of 9944. The greatest factor of 9944 is 9944.

4. How to Find the LCM of 9940 and 9944?

Answer:

Least Common Multiple of 9940 and 9944 = 24710840

Step 1: Find the prime factorization of 9940

9940 = 2 x 2 x 5 x 7 x 71

Step 2: Find the prime factorization of 9944

9944 = 2 x 2 x 2 x 11 x 113

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

LCM = 24710840 = 2 x 2 x 2 x 5 x 7 x 11 x 71 x 113

Step 4: Therefore, the least common multiple of 9940 and 9944 is 24710840.