Least Common Multiple of 47348 and 47352

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 47352 the smallest integer that is 560505624 that is divisible by both numbers.

Least Common Multiple (LCM) of 47348 and 47352 is 560505624.

LCM(47348,47352) = 560505624

LCM of 47348 and 47352

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

LCM of:
and

Least Common Multiple of 47348 and 47352

LCM of 47348 and 47352 is 560505624

Least common multiple can be found by multiplying the highest exponent prime factors of 47348 and 47352. First we will calculate the prime factors of 47348 and 47352.

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 47352


2 47352
2 23676
2 11838
3 5919
1973 1973
1

Prime factors of 47352 are 2, 3,1973. Prime factorization of 47352 in exponential form is:

47352 = 23×31×19731

Now multiplying the highest exponent prime factors to calculate the LCM of 47348 and 47352.

LCM(47348,47352) = 23×31×71×191×891×19731
LCM(47348,47352) = 560505624

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 47352

List of positive integer factors of 47352 that divides 47352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 47352

Least Common Multiple of 47348 and 47352 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 47352, than apply into the LCM equation.

GCF(47348,47352) = 4
LCM(47348,47352) = ( 47348 × 47352) / 4
LCM(47348,47352) = 2242022496 / 4
LCM(47348,47352) = 560505624

Properties of LCM 47348 and 47352

(i) The LCM of 47352 and 47348 is associative

LCM of 47348 and 47352 = LCM of 47352 and 47348

Related Least Common Multiples of 47348

Related Least Common Multiples of 47352

Frequently Asked Questions on LCM of 47348 and 47352

1. What is the LCM of 47348 and 47352?

Answer: LCM of 47348 and 47352 is 560505624.

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 47352?

Answer: Factors of 47352 are 1, 2, 3, 4, 6, 8, 12, 24, 1973, 3946, 5919, 7892, 11838, 15784, 23676, 47352. There are 16 integers that are factors of 47352. The greatest factor of 47352 is 47352.

4. How to Find the LCM of 47348 and 47352?

Answer:

Least Common Multiple of 47348 and 47352 = 560505624

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 47352

47352 = 2 x 2 x 2 x 3 x 1973

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

LCM = 560505624 = 2 x 2 x 2 x 3 x 7 x 19 x 89 x 1973

Step 4: Therefore, the least common multiple of 47348 and 47352 is 560505624.