Least Common Multiple of 56834 and 56842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 56834 and 56842 the smallest integer that is 1615279114 that is divisible by both numbers.

Least Common Multiple (LCM) of 56834 and 56842 is 1615279114.

LCM(56834,56842) = 1615279114

LCM of 56834 and 56842

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

LCM of:
and

Least Common Multiple of 56834 and 56842

LCM of 56834 and 56842 is 1615279114

Least common multiple can be found by multiplying the highest exponent prime factors of 56834 and 56842. First we will calculate the prime factors of 56834 and 56842.

Prime Factorization of 56834


2 56834
157 28417
181 181
1

Prime factors of 56834 are 2, 157,181. Prime factorization of 56834 in exponential form is:

56834 = 21×1571×1811

Prime Factorization of 56842


2 56842
97 28421
293 293
1

Prime factors of 56842 are 2, 97,293. Prime factorization of 56842 in exponential form is:

56842 = 21×971×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 56834 and 56842.

LCM(56834,56842) = 21×971×1571×1811×2931
LCM(56834,56842) = 1615279114

Factors of 56834

List of positive integer factors of 56834 that divides 56834 without a remainder.

1, 2, 157, 181, 314, 362, 28417, 56834

Factors of 56842

List of positive integer factors of 56842 that divides 56842 without a remainder.

1, 2, 97, 194, 293, 586, 28421, 56842

Least Common Multiple of 56834 and 56842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56834 and 56842, than apply into the LCM equation.

GCF(56834,56842) = 2
LCM(56834,56842) = ( 56834 × 56842) / 2
LCM(56834,56842) = 3230558228 / 2
LCM(56834,56842) = 1615279114

Properties of LCM 56834 and 56842

(i) The LCM of 56842 and 56834 is associative

LCM of 56834 and 56842 = LCM of 56842 and 56834

Related Least Common Multiples of 56834

Related Least Common Multiples of 56842

Frequently Asked Questions on LCM of 56834 and 56842

1. What is the LCM of 56834 and 56842?

Answer: LCM of 56834 and 56842 is 1615279114.

2. What are the Factors of 56834?

Answer: Factors of 56834 are 1, 2, 157, 181, 314, 362, 28417, 56834. There are 8 integers that are factors of 56834. The greatest factor of 56834 is 56834.

3. What are the Factors of 56842?

Answer: Factors of 56842 are 1, 2, 97, 194, 293, 586, 28421, 56842. There are 8 integers that are factors of 56842. The greatest factor of 56842 is 56842.

4. How to Find the LCM of 56834 and 56842?

Answer:

Least Common Multiple of 56834 and 56842 = 1615279114

Step 1: Find the prime factorization of 56834

56834 = 2 x 157 x 181

Step 2: Find the prime factorization of 56842

56842 = 2 x 97 x 293

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

LCM = 1615279114 = 2 x 97 x 157 x 181 x 293

Step 4: Therefore, the least common multiple of 56834 and 56842 is 1615279114.