Least Common Multiple of 838 and 846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 838 and 846 the smallest integer that is 354474 that is divisible by both numbers.

Least Common Multiple (LCM) of 838 and 846 is 354474.

LCM(838,846) = 354474

LCM of 838 and 846

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

LCM of:
and

Least Common Multiple of 838 and 846

LCM of 838 and 846 is 354474

Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 846. First we will calculate the prime factors of 838 and 846.

Prime Factorization of 838


2 838
419 419
1

Prime factors of 838 are 2,419. Prime factorization of 838 in exponential form is:

838 = 21×4191

Prime Factorization of 846


2 846
3 423
3 141
47 47
1

Prime factors of 846 are 2, 3,47. Prime factorization of 846 in exponential form is:

846 = 21×32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 846.

LCM(838,846) = 21×32×471×4191
LCM(838,846) = 354474

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Least Common Multiple of 838 and 846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 838 and 846, than apply into the LCM equation.

GCF(838,846) = 2
LCM(838,846) = ( 838 × 846) / 2
LCM(838,846) = 708948 / 2
LCM(838,846) = 354474

Properties of LCM 838 and 846

(i) The LCM of 846 and 838 is associative

LCM of 838 and 846 = LCM of 846 and 838

Related Least Common Multiples of 838

Related Least Common Multiples of 846

Frequently Asked Questions on LCM of 838 and 846

1. What is the LCM of 838 and 846?

Answer: LCM of 838 and 846 is 354474.

2. What are the Factors of 838?

Answer: Factors of 838 are 1, 2, 419, 838. There are 4 integers that are factors of 838. The greatest factor of 838 is 838.

3. What are the Factors of 846?

Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.

4. How to Find the LCM of 838 and 846?

Answer:

Least Common Multiple of 838 and 846 = 354474

Step 1: Find the prime factorization of 838

838 = 2 x 419

Step 2: Find the prime factorization of 846

846 = 2 x 3 x 3 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 = 354474 = 2 x 3 x 3 x 47 x 419

Step 4: Therefore, the least common multiple of 838 and 846 is 354474.