Least Common Multiple of 846 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 846 and 848 the smallest integer that is 358704 that is divisible by both numbers.

Least Common Multiple (LCM) of 846 and 848 is 358704.

LCM(846,848) = 358704

LCM of 846 and 848

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

LCM of:
and

Least Common Multiple of 846 and 848

LCM of 846 and 848 is 358704

Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 848. First we will calculate the prime factors of 846 and 848.

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 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 846 and 848.

LCM(846,848) = 24×32×471×531
LCM(846,848) = 358704

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 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 846 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 846 and 848, than apply into the LCM equation.

GCF(846,848) = 2
LCM(846,848) = ( 846 × 848) / 2
LCM(846,848) = 717408 / 2
LCM(846,848) = 358704

Properties of LCM 846 and 848

(i) The LCM of 848 and 846 is associative

LCM of 846 and 848 = LCM of 848 and 846

Related Least Common Multiples of 846

Related Least Common Multiples of 848

Frequently Asked Questions on LCM of 846 and 848

1. What is the LCM of 846 and 848?

Answer: LCM of 846 and 848 is 358704.

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 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 846 and 848?

Answer:

Least Common Multiple of 846 and 848 = 358704

Step 1: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

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 = 358704 = 2 x 2 x 2 x 2 x 3 x 3 x 47 x 53

Step 4: Therefore, the least common multiple of 846 and 848 is 358704.