Least Common Multiple of 47348 and 47356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47348 and 47356 the smallest integer that is 560552972 that is divisible by both numbers.

Least Common Multiple (LCM) of 47348 and 47356 is 560552972.

LCM(47348,47356) = 560552972

LCM of 47348 and 47356

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

LCM of:
and

Least Common Multiple of 47348 and 47356

LCM of 47348 and 47356 is 560552972

Least common multiple can be found by multiplying the highest exponent prime factors of 47348 and 47356. First we will calculate the prime factors of 47348 and 47356.

Prime Factorization of 47348


2 47348
2 23674
7 11837
19 1691
89 89
1

Prime factors of 47348 are 2, 7, 19,89. Prime factorization of 47348 in exponential form is:

47348 = 22×71×191×891

Prime Factorization of 47356


2 47356
2 23678
11839 11839
1

Prime factors of 47356 are 2,11839. Prime factorization of 47356 in exponential form is:

47356 = 22×118391

Now multiplying the highest exponent prime factors to calculate the LCM of 47348 and 47356.

LCM(47348,47356) = 22×71×191×891×118391
LCM(47348,47356) = 560552972

Factors of 47348

List of positive integer factors of 47348 that divides 47348 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 89, 133, 178, 266, 356, 532, 623, 1246, 1691, 2492, 3382, 6764, 11837, 23674, 47348

Factors of 47356

List of positive integer factors of 47356 that divides 47356 without a remainder.

1, 2, 4, 11839, 23678, 47356

Least Common Multiple of 47348 and 47356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47348 and 47356, than apply into the LCM equation.

GCF(47348,47356) = 4
LCM(47348,47356) = ( 47348 × 47356) / 4
LCM(47348,47356) = 2242211888 / 4
LCM(47348,47356) = 560552972

Properties of LCM 47348 and 47356

(i) The LCM of 47356 and 47348 is associative

LCM of 47348 and 47356 = LCM of 47356 and 47348

Related Least Common Multiples of 47348

Related Least Common Multiples of 47356

Frequently Asked Questions on LCM of 47348 and 47356

1. What is the LCM of 47348 and 47356?

Answer: LCM of 47348 and 47356 is 560552972.

2. What are the Factors of 47348?

Answer: Factors of 47348 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 89, 133, 178, 266, 356, 532, 623, 1246, 1691, 2492, 3382, 6764, 11837, 23674, 47348. There are 24 integers that are factors of 47348. The greatest factor of 47348 is 47348.

3. What are the Factors of 47356?

Answer: Factors of 47356 are 1, 2, 4, 11839, 23678, 47356. There are 6 integers that are factors of 47356. The greatest factor of 47356 is 47356.

4. How to Find the LCM of 47348 and 47356?

Answer:

Least Common Multiple of 47348 and 47356 = 560552972

Step 1: Find the prime factorization of 47348

47348 = 2 x 2 x 7 x 19 x 89

Step 2: Find the prime factorization of 47356

47356 = 2 x 2 x 11839

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

LCM = 560552972 = 2 x 2 x 7 x 19 x 89 x 11839

Step 4: Therefore, the least common multiple of 47348 and 47356 is 560552972.