Least Common Multiple of 934 and 938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 934 and 938 the smallest integer that is 438046 that is divisible by both numbers.

Least Common Multiple (LCM) of 934 and 938 is 438046.

LCM(934,938) = 438046

LCM of 934 and 938

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

LCM of:
and

Least Common Multiple of 934 and 938

LCM of 934 and 938 is 438046

Least common multiple can be found by multiplying the highest exponent prime factors of 934 and 938. First we will calculate the prime factors of 934 and 938.

Prime Factorization of 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 934 and 938.

LCM(934,938) = 21×71×671×4671
LCM(934,938) = 438046

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Factors of 938

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

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

Least Common Multiple of 934 and 938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 934 and 938, than apply into the LCM equation.

GCF(934,938) = 2
LCM(934,938) = ( 934 × 938) / 2
LCM(934,938) = 876092 / 2
LCM(934,938) = 438046

Properties of LCM 934 and 938

(i) The LCM of 938 and 934 is associative

LCM of 934 and 938 = LCM of 938 and 934

Related Least Common Multiples of 934

Related Least Common Multiples of 938

Frequently Asked Questions on LCM of 934 and 938

1. What is the LCM of 934 and 938?

Answer: LCM of 934 and 938 is 438046.

2. What are the Factors of 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

3. 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.

4. How to Find the LCM of 934 and 938?

Answer:

Least Common Multiple of 934 and 938 = 438046

Step 1: Find the prime factorization of 934

934 = 2 x 467

Step 2: Find the prime factorization of 938

938 = 2 x 7 x 67

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

LCM = 438046 = 2 x 7 x 67 x 467

Step 4: Therefore, the least common multiple of 934 and 938 is 438046.