Least Common Multiple of 838 and 840

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 840 the smallest integer that is 351960 that is divisible by both numbers.

Least Common Multiple (LCM) of 838 and 840 is 351960.

LCM(838,840) = 351960

LCM of 838 and 840

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

LCM of:
and

Least Common Multiple of 838 and 840

LCM of 838 and 840 is 351960

Least common multiple can be found by multiplying the highest exponent prime factors of 838 and 840. First we will calculate the prime factors of 838 and 840.

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 840


2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 840 are 2, 3, 5,7. Prime factorization of 840 in exponential form is:

840 = 23×31×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 838 and 840.

LCM(838,840) = 23×31×51×71×4191
LCM(838,840) = 351960

Factors of 838

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

1, 2, 419, 838

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Least Common Multiple of 838 and 840 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 840, than apply into the LCM equation.

GCF(838,840) = 2
LCM(838,840) = ( 838 × 840) / 2
LCM(838,840) = 703920 / 2
LCM(838,840) = 351960

Properties of LCM 838 and 840

(i) The LCM of 840 and 838 is associative

LCM of 838 and 840 = LCM of 840 and 838

Related Least Common Multiples of 838

Related Least Common Multiples of 840

Frequently Asked Questions on LCM of 838 and 840

1. What is the LCM of 838 and 840?

Answer: LCM of 838 and 840 is 351960.

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 840?

Answer: Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840. There are 32 integers that are factors of 840. The greatest factor of 840 is 840.

4. How to Find the LCM of 838 and 840?

Answer:

Least Common Multiple of 838 and 840 = 351960

Step 1: Find the prime factorization of 838

838 = 2 x 419

Step 2: Find the prime factorization of 840

840 = 2 x 2 x 2 x 3 x 5 x 7

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

LCM = 351960 = 2 x 2 x 2 x 3 x 5 x 7 x 419

Step 4: Therefore, the least common multiple of 838 and 840 is 351960.