Least Common Multiple of 926 and 931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 926 and 931 the smallest integer that is 862106 that is divisible by both numbers.

Least Common Multiple (LCM) of 926 and 931 is 862106.

LCM(926,931) = 862106

LCM of 926 and 931

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

LCM of:
and

Least Common Multiple of 926 and 931

LCM of 926 and 931 is 862106

Least common multiple can be found by multiplying the highest exponent prime factors of 926 and 931. First we will calculate the prime factors of 926 and 931.

Prime Factorization of 926


2 926
463 463
1

Prime factors of 926 are 2,463. Prime factorization of 926 in exponential form is:

926 = 21×4631

Prime Factorization of 931


7 931
7 133
19 19
1

Prime factors of 931 are 7,19. Prime factorization of 931 in exponential form is:

931 = 72×191

Now multiplying the highest exponent prime factors to calculate the LCM of 926 and 931.

LCM(926,931) = 21×72×191×4631
LCM(926,931) = 862106

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Least Common Multiple of 926 and 931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 926 and 931, than apply into the LCM equation.

GCF(926,931) = 1
LCM(926,931) = ( 926 × 931) / 1
LCM(926,931) = 862106 / 1
LCM(926,931) = 862106

Properties of LCM 926 and 931

(i) The LCM of 931 and 926 is associative

LCM of 926 and 931 = LCM of 931 and 926

Related Least Common Multiples of 926

Related Least Common Multiples of 931

Frequently Asked Questions on LCM of 926 and 931

1. What is the LCM of 926 and 931?

Answer: LCM of 926 and 931 is 862106.

2. What are the Factors of 926?

Answer: Factors of 926 are 1, 2, 463, 926. There are 4 integers that are factors of 926. The greatest factor of 926 is 926.

3. What are the Factors of 931?

Answer: Factors of 931 are 1, 7, 19, 49, 133, 931. There are 6 integers that are factors of 931. The greatest factor of 931 is 931.

4. How to Find the LCM of 926 and 931?

Answer:

Least Common Multiple of 926 and 931 = 862106

Step 1: Find the prime factorization of 926

926 = 2 x 463

Step 2: Find the prime factorization of 931

931 = 7 x 7 x 19

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

LCM = 862106 = 2 x 7 x 7 x 19 x 463

Step 4: Therefore, the least common multiple of 926 and 931 is 862106.