Least Common Multiple of 938 and 944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 938 and 944 the smallest integer that is 442736 that is divisible by both numbers.

Least Common Multiple (LCM) of 938 and 944 is 442736.

LCM(938,944) = 442736

LCM of 938 and 944

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

LCM of:
and

Least Common Multiple of 938 and 944

LCM of 938 and 944 is 442736

Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 944. First we will calculate the prime factors of 938 and 944.

Prime Factorization of 938


2 938
7 469
67 67
1

Prime factors of 938 are 2, 7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

Prime Factorization of 944


2 944
2 472
2 236
2 118
59 59
1

Prime factors of 944 are 2,59. Prime factorization of 944 in exponential form is:

944 = 24×591

Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 944.

LCM(938,944) = 24×71×591×671
LCM(938,944) = 442736

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Least Common Multiple of 938 and 944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 938 and 944, than apply into the LCM equation.

GCF(938,944) = 2
LCM(938,944) = ( 938 × 944) / 2
LCM(938,944) = 885472 / 2
LCM(938,944) = 442736

Properties of LCM 938 and 944

(i) The LCM of 944 and 938 is associative

LCM of 938 and 944 = LCM of 944 and 938

Related Least Common Multiples of 938

Related Least Common Multiples of 944

Frequently Asked Questions on LCM of 938 and 944

1. What is the LCM of 938 and 944?

Answer: LCM of 938 and 944 is 442736.

2. What are the Factors of 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

3. What are the Factors of 944?

Answer: Factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944. There are 10 integers that are factors of 944. The greatest factor of 944 is 944.

4. How to Find the LCM of 938 and 944?

Answer:

Least Common Multiple of 938 and 944 = 442736

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 944

944 = 2 x 2 x 2 x 2 x 59

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

LCM = 442736 = 2 x 2 x 2 x 2 x 7 x 59 x 67

Step 4: Therefore, the least common multiple of 938 and 944 is 442736.