Least Common Multiple of 9937 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 9937 and 9944 the smallest integer that is 98813528 that is divisible by both numbers.

Least Common Multiple (LCM) of 9937 and 9944 is 98813528.

LCM(9937,9944) = 98813528

LCM of 9937 and 9944

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

LCM of:
and

Least Common Multiple of 9937 and 9944

LCM of 9937 and 9944 is 98813528

Least common multiple can be found by multiplying the highest exponent prime factors of 9937 and 9944. First we will calculate the prime factors of 9937 and 9944.

Prime Factorization of 9937


19 9937
523 523
1

Prime factors of 9937 are 19,523. Prime factorization of 9937 in exponential form is:

9937 = 191×5231

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 9937 and 9944.

LCM(9937,9944) = 23×111×191×1131×5231
LCM(9937,9944) = 98813528

Factors of 9937

List of positive integer factors of 9937 that divides 9937 without a remainder.

1, 19, 523, 9937

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 9937 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 9937 and 9944, than apply into the LCM equation.

GCF(9937,9944) = 1
LCM(9937,9944) = ( 9937 × 9944) / 1
LCM(9937,9944) = 98813528 / 1
LCM(9937,9944) = 98813528

Properties of LCM 9937 and 9944

(i) The LCM of 9944 and 9937 is associative

LCM of 9937 and 9944 = LCM of 9944 and 9937

Related Least Common Multiples of 9937

Related Least Common Multiples of 9944

Frequently Asked Questions on LCM of 9937 and 9944

1. What is the LCM of 9937 and 9944?

Answer: LCM of 9937 and 9944 is 98813528.

2. What are the Factors of 9937?

Answer: Factors of 9937 are 1, 19, 523, 9937. There are 4 integers that are factors of 9937. The greatest factor of 9937 is 9937.

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 9937 and 9944?

Answer:

Least Common Multiple of 9937 and 9944 = 98813528

Step 1: Find the prime factorization of 9937

9937 = 19 x 523

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 = 98813528 = 2 x 2 x 2 x 11 x 19 x 113 x 523

Step 4: Therefore, the least common multiple of 9937 and 9944 is 98813528.