Least Common Multiple of 938 and 943

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 943 the smallest integer that is 884534 that is divisible by both numbers.

Least Common Multiple (LCM) of 938 and 943 is 884534.

LCM(938,943) = 884534

LCM of 938 and 943

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

LCM of:
and

Least Common Multiple of 938 and 943

LCM of 938 and 943 is 884534

Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 943. First we will calculate the prime factors of 938 and 943.

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 943


23 943
41 41
1

Prime factors of 943 are 23,41. Prime factorization of 943 in exponential form is:

943 = 231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 943.

LCM(938,943) = 21×71×231×411×671
LCM(938,943) = 884534

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 943

List of positive integer factors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Least Common Multiple of 938 and 943 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 943, than apply into the LCM equation.

GCF(938,943) = 1
LCM(938,943) = ( 938 × 943) / 1
LCM(938,943) = 884534 / 1
LCM(938,943) = 884534

Properties of LCM 938 and 943

(i) The LCM of 943 and 938 is associative

LCM of 938 and 943 = LCM of 943 and 938

Related Least Common Multiples of 938

Related Least Common Multiples of 943

Frequently Asked Questions on LCM of 938 and 943

1. What is the LCM of 938 and 943?

Answer: LCM of 938 and 943 is 884534.

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 943?

Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.

4. How to Find the LCM of 938 and 943?

Answer:

Least Common Multiple of 938 and 943 = 884534

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 943

943 = 23 x 41

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

LCM = 884534 = 2 x 7 x 23 x 41 x 67

Step 4: Therefore, the least common multiple of 938 and 943 is 884534.