Least Common Multiple of 840 and 845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 840 and 845 the smallest integer that is 141960 that is divisible by both numbers.

Least Common Multiple (LCM) of 840 and 845 is 141960.

LCM(840,845) = 141960

LCM of 840 and 845

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

LCM of:
and

Least Common Multiple of 840 and 845

LCM of 840 and 845 is 141960

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 845. First we will calculate the prime factors of 840 and 845.

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

Prime Factorization of 845


5 845
13 169
13 13
1

Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:

845 = 51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 845.

LCM(840,845) = 23×31×51×71×132
LCM(840,845) = 141960

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

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Least Common Multiple of 840 and 845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 840 and 845, than apply into the LCM equation.

GCF(840,845) = 5
LCM(840,845) = ( 840 × 845) / 5
LCM(840,845) = 709800 / 5
LCM(840,845) = 141960

Properties of LCM 840 and 845

(i) The LCM of 845 and 840 is associative

LCM of 840 and 845 = LCM of 845 and 840

Related Least Common Multiples of 840

Related Least Common Multiples of 845

Frequently Asked Questions on LCM of 840 and 845

1. What is the LCM of 840 and 845?

Answer: LCM of 840 and 845 is 141960.

2. 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.

3. What are the Factors of 845?

Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.

4. How to Find the LCM of 840 and 845?

Answer:

Least Common Multiple of 840 and 845 = 141960

Step 1: Find the prime factorization of 840

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

Step 2: Find the prime factorization of 845

845 = 5 x 13 x 13

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

LCM = 141960 = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 13

Step 4: Therefore, the least common multiple of 840 and 845 is 141960.