Least Common Multiple of 926 and 929

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 929 the smallest integer that is 860254 that is divisible by both numbers.

Least Common Multiple (LCM) of 926 and 929 is 860254.

LCM(926,929) = 860254

LCM of 926 and 929

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

LCM of:
and

Least Common Multiple of 926 and 929

LCM of 926 and 929 is 860254

Least common multiple can be found by multiplying the highest exponent prime factors of 926 and 929. First we will calculate the prime factors of 926 and 929.

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 929


929 929
1

Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:

929 = 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 926 and 929.

LCM(926,929) = 21×4631×9291
LCM(926,929) = 860254

Factors of 926

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

1, 2, 463, 926

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1, 929

Least Common Multiple of 926 and 929 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 929, than apply into the LCM equation.

GCF(926,929) = 1
LCM(926,929) = ( 926 × 929) / 1
LCM(926,929) = 860254 / 1
LCM(926,929) = 860254

Properties of LCM 926 and 929

(i) The LCM of 929 and 926 is associative

LCM of 926 and 929 = LCM of 929 and 926

Related Least Common Multiples of 926

Related Least Common Multiples of 929

Frequently Asked Questions on LCM of 926 and 929

1. What is the LCM of 926 and 929?

Answer: LCM of 926 and 929 is 860254.

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 929?

Answer: Factors of 929 are 1, 929. There are 2 integers that are factors of 929. The greatest factor of 929 is 929.

4. How to Find the LCM of 926 and 929?

Answer:

Least Common Multiple of 926 and 929 = 860254

Step 1: Find the prime factorization of 926

926 = 2 x 463

Step 2: Find the prime factorization of 929

929 = 929

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

LCM = 860254 = 2 x 463 x 929

Step 4: Therefore, the least common multiple of 926 and 929 is 860254.