Least Common Multiple of 840 and 848

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 848 the smallest integer that is 89040 that is divisible by both numbers.

Least Common Multiple (LCM) of 840 and 848 is 89040.

LCM(840,848) = 89040

LCM of 840 and 848

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

LCM of:
and

Least Common Multiple of 840 and 848

LCM of 840 and 848 is 89040

Least common multiple can be found by multiplying the highest exponent prime factors of 840 and 848. First we will calculate the prime factors of 840 and 848.

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 848


2 848
2 424
2 212
2 106
53 53
1

Prime factors of 848 are 2,53. Prime factorization of 848 in exponential form is:

848 = 24×531

Now multiplying the highest exponent prime factors to calculate the LCM of 840 and 848.

LCM(840,848) = 24×31×51×71×531
LCM(840,848) = 89040

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 848

List of positive integer factors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Least Common Multiple of 840 and 848 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 848, than apply into the LCM equation.

GCF(840,848) = 8
LCM(840,848) = ( 840 × 848) / 8
LCM(840,848) = 712320 / 8
LCM(840,848) = 89040

Properties of LCM 840 and 848

(i) The LCM of 848 and 840 is associative

LCM of 840 and 848 = LCM of 848 and 840

Related Least Common Multiples of 840

Related Least Common Multiples of 848

Frequently Asked Questions on LCM of 840 and 848

1. What is the LCM of 840 and 848?

Answer: LCM of 840 and 848 is 89040.

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 848?

Answer: Factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848. There are 10 integers that are factors of 848. The greatest factor of 848 is 848.

4. How to Find the LCM of 840 and 848?

Answer:

Least Common Multiple of 840 and 848 = 89040

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 848

848 = 2 x 2 x 2 x 2 x 53

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

LCM = 89040 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 53

Step 4: Therefore, the least common multiple of 840 and 848 is 89040.