Least Common Multiple of 938 and 940

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 940 the smallest integer that is 440860 that is divisible by both numbers.

Least Common Multiple (LCM) of 938 and 940 is 440860.

LCM(938,940) = 440860

LCM of 938 and 940

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

LCM of:
and

Least Common Multiple of 938 and 940

LCM of 938 and 940 is 440860

Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 940. First we will calculate the prime factors of 938 and 940.

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 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 940.

LCM(938,940) = 22×51×71×471×671
LCM(938,940) = 440860

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 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Least Common Multiple of 938 and 940 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 940, than apply into the LCM equation.

GCF(938,940) = 2
LCM(938,940) = ( 938 × 940) / 2
LCM(938,940) = 881720 / 2
LCM(938,940) = 440860

Properties of LCM 938 and 940

(i) The LCM of 940 and 938 is associative

LCM of 938 and 940 = LCM of 940 and 938

Related Least Common Multiples of 938

Related Least Common Multiples of 940

Frequently Asked Questions on LCM of 938 and 940

1. What is the LCM of 938 and 940?

Answer: LCM of 938 and 940 is 440860.

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 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

4. How to Find the LCM of 938 and 940?

Answer:

Least Common Multiple of 938 and 940 = 440860

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

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

LCM = 440860 = 2 x 2 x 5 x 7 x 47 x 67

Step 4: Therefore, the least common multiple of 938 and 940 is 440860.