Least Common Multiple of 47336 and 47341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47336 and 47341 the smallest integer that is 2240933576 that is divisible by both numbers.

Least Common Multiple (LCM) of 47336 and 47341 is 2240933576.

LCM(47336,47341) = 2240933576

LCM of 47336 and 47341

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

LCM of:
and

Least Common Multiple of 47336 and 47341

LCM of 47336 and 47341 is 2240933576

Least common multiple can be found by multiplying the highest exponent prime factors of 47336 and 47341. First we will calculate the prime factors of 47336 and 47341.

Prime Factorization of 47336


2 47336
2 23668
2 11834
61 5917
97 97
1

Prime factors of 47336 are 2, 61,97. Prime factorization of 47336 in exponential form is:

47336 = 23×611×971

Prime Factorization of 47341


7 47341
6763 6763
1

Prime factors of 47341 are 7,6763. Prime factorization of 47341 in exponential form is:

47341 = 71×67631

Now multiplying the highest exponent prime factors to calculate the LCM of 47336 and 47341.

LCM(47336,47341) = 23×71×611×971×67631
LCM(47336,47341) = 2240933576

Factors of 47336

List of positive integer factors of 47336 that divides 47336 without a remainder.

1, 2, 4, 8, 61, 97, 122, 194, 244, 388, 488, 776, 5917, 11834, 23668, 47336

Factors of 47341

List of positive integer factors of 47341 that divides 47341 without a remainder.

1, 7, 6763, 47341

Least Common Multiple of 47336 and 47341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47336 and 47341, than apply into the LCM equation.

GCF(47336,47341) = 1
LCM(47336,47341) = ( 47336 × 47341) / 1
LCM(47336,47341) = 2240933576 / 1
LCM(47336,47341) = 2240933576

Properties of LCM 47336 and 47341

(i) The LCM of 47341 and 47336 is associative

LCM of 47336 and 47341 = LCM of 47341 and 47336

Related Least Common Multiples of 47336

Related Least Common Multiples of 47341

Frequently Asked Questions on LCM of 47336 and 47341

1. What is the LCM of 47336 and 47341?

Answer: LCM of 47336 and 47341 is 2240933576.

2. What are the Factors of 47336?

Answer: Factors of 47336 are 1, 2, 4, 8, 61, 97, 122, 194, 244, 388, 488, 776, 5917, 11834, 23668, 47336. There are 16 integers that are factors of 47336. The greatest factor of 47336 is 47336.

3. What are the Factors of 47341?

Answer: Factors of 47341 are 1, 7, 6763, 47341. There are 4 integers that are factors of 47341. The greatest factor of 47341 is 47341.

4. How to Find the LCM of 47336 and 47341?

Answer:

Least Common Multiple of 47336 and 47341 = 2240933576

Step 1: Find the prime factorization of 47336

47336 = 2 x 2 x 2 x 61 x 97

Step 2: Find the prime factorization of 47341

47341 = 7 x 6763

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

LCM = 2240933576 = 2 x 2 x 2 x 7 x 61 x 97 x 6763

Step 4: Therefore, the least common multiple of 47336 and 47341 is 2240933576.