Least Common Multiple of 47366 and 47374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47366 and 47374 the smallest integer that is 1121958442 that is divisible by both numbers.

Least Common Multiple (LCM) of 47366 and 47374 is 1121958442.

LCM(47366,47374) = 1121958442

LCM of 47366 and 47374

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

LCM of:
and

Least Common Multiple of 47366 and 47374

LCM of 47366 and 47374 is 1121958442

Least common multiple can be found by multiplying the highest exponent prime factors of 47366 and 47374. First we will calculate the prime factors of 47366 and 47374.

Prime Factorization of 47366


2 47366
11 23683
2153 2153
1

Prime factors of 47366 are 2, 11,2153. Prime factorization of 47366 in exponential form is:

47366 = 21×111×21531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 47366 and 47374.

LCM(47366,47374) = 21×111×21531×236871
LCM(47366,47374) = 1121958442

Factors of 47366

List of positive integer factors of 47366 that divides 47366 without a remainder.

1, 2, 11, 22, 2153, 4306, 23683, 47366

Factors of 47374

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

1, 2, 23687, 47374

Least Common Multiple of 47366 and 47374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47366 and 47374, than apply into the LCM equation.

GCF(47366,47374) = 2
LCM(47366,47374) = ( 47366 × 47374) / 2
LCM(47366,47374) = 2243916884 / 2
LCM(47366,47374) = 1121958442

Properties of LCM 47366 and 47374

(i) The LCM of 47374 and 47366 is associative

LCM of 47366 and 47374 = LCM of 47374 and 47366

Related Least Common Multiples of 47366

Related Least Common Multiples of 47374

Frequently Asked Questions on LCM of 47366 and 47374

1. What is the LCM of 47366 and 47374?

Answer: LCM of 47366 and 47374 is 1121958442.

2. What are the Factors of 47366?

Answer: Factors of 47366 are 1, 2, 11, 22, 2153, 4306, 23683, 47366. There are 8 integers that are factors of 47366. The greatest factor of 47366 is 47366.

3. 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.

4. How to Find the LCM of 47366 and 47374?

Answer:

Least Common Multiple of 47366 and 47374 = 1121958442

Step 1: Find the prime factorization of 47366

47366 = 2 x 11 x 2153

Step 2: Find the prime factorization of 47374

47374 = 2 x 23687

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

LCM = 1121958442 = 2 x 11 x 2153 x 23687

Step 4: Therefore, the least common multiple of 47366 and 47374 is 1121958442.