Least Common Multiple of 47361 and 47368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47361 and 47368 the smallest integer that is 2243395848 that is divisible by both numbers.

Least Common Multiple (LCM) of 47361 and 47368 is 2243395848.

LCM(47361,47368) = 2243395848

LCM of 47361 and 47368

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

LCM of:
and

Least Common Multiple of 47361 and 47368

LCM of 47361 and 47368 is 2243395848

Least common multiple can be found by multiplying the highest exponent prime factors of 47361 and 47368. First we will calculate the prime factors of 47361 and 47368.

Prime Factorization of 47361


3 47361
15787 15787
1

Prime factors of 47361 are 3,15787. Prime factorization of 47361 in exponential form is:

47361 = 31×157871

Prime Factorization of 47368


2 47368
2 23684
2 11842
31 5921
191 191
1

Prime factors of 47368 are 2, 31,191. Prime factorization of 47368 in exponential form is:

47368 = 23×311×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 47361 and 47368.

LCM(47361,47368) = 23×31×311×1911×157871
LCM(47361,47368) = 2243395848

Factors of 47361

List of positive integer factors of 47361 that divides 47361 without a remainder.

1, 3, 15787, 47361

Factors of 47368

List of positive integer factors of 47368 that divides 47368 without a remainder.

1, 2, 4, 8, 31, 62, 124, 191, 248, 382, 764, 1528, 5921, 11842, 23684, 47368

Least Common Multiple of 47361 and 47368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47361 and 47368, than apply into the LCM equation.

GCF(47361,47368) = 1
LCM(47361,47368) = ( 47361 × 47368) / 1
LCM(47361,47368) = 2243395848 / 1
LCM(47361,47368) = 2243395848

Properties of LCM 47361 and 47368

(i) The LCM of 47368 and 47361 is associative

LCM of 47361 and 47368 = LCM of 47368 and 47361

Related Least Common Multiples of 47361

Related Least Common Multiples of 47368

Frequently Asked Questions on LCM of 47361 and 47368

1. What is the LCM of 47361 and 47368?

Answer: LCM of 47361 and 47368 is 2243395848.

2. What are the Factors of 47361?

Answer: Factors of 47361 are 1, 3, 15787, 47361. There are 4 integers that are factors of 47361. The greatest factor of 47361 is 47361.

3. What are the Factors of 47368?

Answer: Factors of 47368 are 1, 2, 4, 8, 31, 62, 124, 191, 248, 382, 764, 1528, 5921, 11842, 23684, 47368. There are 16 integers that are factors of 47368. The greatest factor of 47368 is 47368.

4. How to Find the LCM of 47361 and 47368?

Answer:

Least Common Multiple of 47361 and 47368 = 2243395848

Step 1: Find the prime factorization of 47361

47361 = 3 x 15787

Step 2: Find the prime factorization of 47368

47368 = 2 x 2 x 2 x 31 x 191

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

LCM = 2243395848 = 2 x 2 x 2 x 3 x 31 x 191 x 15787

Step 4: Therefore, the least common multiple of 47361 and 47368 is 2243395848.