Least Common Multiple of 848 and 852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 848 and 852 the smallest integer that is 180624 that is divisible by both numbers.

Least Common Multiple (LCM) of 848 and 852 is 180624.

LCM(848,852) = 180624

LCM of 848 and 852

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

LCM of:
and

Least Common Multiple of 848 and 852

LCM of 848 and 852 is 180624

Least common multiple can be found by multiplying the highest exponent prime factors of 848 and 852. First we will calculate the prime factors of 848 and 852.

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

Prime Factorization of 852


2 852
2 426
3 213
71 71
1

Prime factors of 852 are 2, 3,71. Prime factorization of 852 in exponential form is:

852 = 22×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 848 and 852.

LCM(848,852) = 24×31×531×711
LCM(848,852) = 180624

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

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Least Common Multiple of 848 and 852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 848 and 852, than apply into the LCM equation.

GCF(848,852) = 4
LCM(848,852) = ( 848 × 852) / 4
LCM(848,852) = 722496 / 4
LCM(848,852) = 180624

Properties of LCM 848 and 852

(i) The LCM of 852 and 848 is associative

LCM of 848 and 852 = LCM of 852 and 848

Related Least Common Multiples of 848

Related Least Common Multiples of 852

Frequently Asked Questions on LCM of 848 and 852

1. What is the LCM of 848 and 852?

Answer: LCM of 848 and 852 is 180624.

2. 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.

3. What are the Factors of 852?

Answer: Factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852. There are 12 integers that are factors of 852. The greatest factor of 852 is 852.

4. How to Find the LCM of 848 and 852?

Answer:

Least Common Multiple of 848 and 852 = 180624

Step 1: Find the prime factorization of 848

848 = 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 852

852 = 2 x 2 x 3 x 71

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

LCM = 180624 = 2 x 2 x 2 x 2 x 3 x 53 x 71

Step 4: Therefore, the least common multiple of 848 and 852 is 180624.