Least Common Multiple of 846 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 846 and 852 the smallest integer that is 120132 that is divisible by both numbers.

Least Common Multiple (LCM) of 846 and 852 is 120132.

LCM(846,852) = 120132

LCM of 846 and 852

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

LCM of:
and

Least Common Multiple of 846 and 852

LCM of 846 and 852 is 120132

Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 852. First we will calculate the prime factors of 846 and 852.

Prime Factorization of 846


2 846
3 423
3 141
47 47
1

Prime factors of 846 are 2, 3,47. Prime factorization of 846 in exponential form is:

846 = 21×32×471

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 846 and 852.

LCM(846,852) = 22×32×471×711
LCM(846,852) = 120132

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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 846 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 846 and 852, than apply into the LCM equation.

GCF(846,852) = 6
LCM(846,852) = ( 846 × 852) / 6
LCM(846,852) = 720792 / 6
LCM(846,852) = 120132

Properties of LCM 846 and 852

(i) The LCM of 852 and 846 is associative

LCM of 846 and 852 = LCM of 852 and 846

Related Least Common Multiples of 846

Related Least Common Multiples of 852

Frequently Asked Questions on LCM of 846 and 852

1. What is the LCM of 846 and 852?

Answer: LCM of 846 and 852 is 120132.

2. What are the Factors of 846?

Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.

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 846 and 852?

Answer:

Least Common Multiple of 846 and 852 = 120132

Step 1: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

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 = 120132 = 2 x 2 x 3 x 3 x 47 x 71

Step 4: Therefore, the least common multiple of 846 and 852 is 120132.