Least Common Multiple of 835 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 835 and 840 the smallest integer that is 140280 that is divisible by both numbers.

Least Common Multiple (LCM) of 835 and 840 is 140280.

LCM(835,840) = 140280

LCM of 835 and 840

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

LCM of:
and

Least Common Multiple of 835 and 840

LCM of 835 and 840 is 140280

Least common multiple can be found by multiplying the highest exponent prime factors of 835 and 840. First we will calculate the prime factors of 835 and 840.

Prime Factorization of 835


5 835
167 167
1

Prime factors of 835 are 5,167. Prime factorization of 835 in exponential form is:

835 = 51×1671

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 835 and 840.

LCM(835,840) = 23×31×51×71×1671
LCM(835,840) = 140280

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1, 5, 167, 835

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 835 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 835 and 840, than apply into the LCM equation.

GCF(835,840) = 5
LCM(835,840) = ( 835 × 840) / 5
LCM(835,840) = 701400 / 5
LCM(835,840) = 140280

Properties of LCM 835 and 840

(i) The LCM of 840 and 835 is associative

LCM of 835 and 840 = LCM of 840 and 835

Related Least Common Multiples of 835

Related Least Common Multiples of 840

Frequently Asked Questions on LCM of 835 and 840

1. What is the LCM of 835 and 840?

Answer: LCM of 835 and 840 is 140280.

2. What are the Factors of 835?

Answer: Factors of 835 are 1, 5, 167, 835. There are 4 integers that are factors of 835. The greatest factor of 835 is 835.

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 835 and 840?

Answer:

Least Common Multiple of 835 and 840 = 140280

Step 1: Find the prime factorization of 835

835 = 5 x 167

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 = 140280 = 2 x 2 x 2 x 3 x 5 x 7 x 167

Step 4: Therefore, the least common multiple of 835 and 840 is 140280.