Least Common Multiple of 47374 and 47381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47374 and 47381 the smallest integer that is 2244627494 that is divisible by both numbers.

Least Common Multiple (LCM) of 47374 and 47381 is 2244627494.

LCM(47374,47381) = 2244627494

LCM of 47374 and 47381

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

LCM of:
and

Least Common Multiple of 47374 and 47381

LCM of 47374 and 47381 is 2244627494

Least common multiple can be found by multiplying the highest exponent prime factors of 47374 and 47381. First we will calculate the prime factors of 47374 and 47381.

Prime Factorization of 47374


2 47374
23687 23687
1

Prime factors of 47374 are 2,23687. Prime factorization of 47374 in exponential form is:

47374 = 21×236871

Prime Factorization of 47381


47381 47381
1

Prime factors of 47381 are 47381. Prime factorization of 47381 in exponential form is:

47381 = 473811

Now multiplying the highest exponent prime factors to calculate the LCM of 47374 and 47381.

LCM(47374,47381) = 21×236871×473811
LCM(47374,47381) = 2244627494

Factors of 47374

List of positive integer factors of 47374 that divides 47374 without a remainder.

1, 2, 23687, 47374

Factors of 47381

List of positive integer factors of 47381 that divides 47381 without a remainder.

1, 47381

Least Common Multiple of 47374 and 47381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47374 and 47381, than apply into the LCM equation.

GCF(47374,47381) = 1
LCM(47374,47381) = ( 47374 × 47381) / 1
LCM(47374,47381) = 2244627494 / 1
LCM(47374,47381) = 2244627494

Properties of LCM 47374 and 47381

(i) The LCM of 47381 and 47374 is associative

LCM of 47374 and 47381 = LCM of 47381 and 47374

Related Least Common Multiples of 47374

Related Least Common Multiples of 47381

Frequently Asked Questions on LCM of 47374 and 47381

1. What is the LCM of 47374 and 47381?

Answer: LCM of 47374 and 47381 is 2244627494.

2. What are the Factors of 47374?

Answer: Factors of 47374 are 1, 2, 23687, 47374. There are 4 integers that are factors of 47374. The greatest factor of 47374 is 47374.

3. What are the Factors of 47381?

Answer: Factors of 47381 are 1, 47381. There are 2 integers that are factors of 47381. The greatest factor of 47381 is 47381.

4. How to Find the LCM of 47374 and 47381?

Answer:

Least Common Multiple of 47374 and 47381 = 2244627494

Step 1: Find the prime factorization of 47374

47374 = 2 x 23687

Step 2: Find the prime factorization of 47381

47381 = 47381

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

LCM = 2244627494 = 2 x 23687 x 47381

Step 4: Therefore, the least common multiple of 47374 and 47381 is 2244627494.