Least Common Multiple of 47312 and 47319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47312 and 47319 the smallest integer that is 2238756528 that is divisible by both numbers.

Least Common Multiple (LCM) of 47312 and 47319 is 2238756528.

LCM(47312,47319) = 2238756528

LCM of 47312 and 47319

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

LCM of:
and

Least Common Multiple of 47312 and 47319

LCM of 47312 and 47319 is 2238756528

Least common multiple can be found by multiplying the highest exponent prime factors of 47312 and 47319. First we will calculate the prime factors of 47312 and 47319.

Prime Factorization of 47312


2 47312
2 23656
2 11828
2 5914
2957 2957
1

Prime factors of 47312 are 2,2957. Prime factorization of 47312 in exponential form is:

47312 = 24×29571

Prime Factorization of 47319


3 47319
15773 15773
1

Prime factors of 47319 are 3,15773. Prime factorization of 47319 in exponential form is:

47319 = 31×157731

Now multiplying the highest exponent prime factors to calculate the LCM of 47312 and 47319.

LCM(47312,47319) = 24×31×29571×157731
LCM(47312,47319) = 2238756528

Factors of 47312

List of positive integer factors of 47312 that divides 47312 without a remainder.

1, 2, 4, 8, 16, 2957, 5914, 11828, 23656, 47312

Factors of 47319

List of positive integer factors of 47319 that divides 47319 without a remainder.

1, 3, 15773, 47319

Least Common Multiple of 47312 and 47319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47312 and 47319, than apply into the LCM equation.

GCF(47312,47319) = 1
LCM(47312,47319) = ( 47312 × 47319) / 1
LCM(47312,47319) = 2238756528 / 1
LCM(47312,47319) = 2238756528

Properties of LCM 47312 and 47319

(i) The LCM of 47319 and 47312 is associative

LCM of 47312 and 47319 = LCM of 47319 and 47312

Related Least Common Multiples of 47312

Related Least Common Multiples of 47319

Frequently Asked Questions on LCM of 47312 and 47319

1. What is the LCM of 47312 and 47319?

Answer: LCM of 47312 and 47319 is 2238756528.

2. What are the Factors of 47312?

Answer: Factors of 47312 are 1, 2, 4, 8, 16, 2957, 5914, 11828, 23656, 47312. There are 10 integers that are factors of 47312. The greatest factor of 47312 is 47312.

3. What are the Factors of 47319?

Answer: Factors of 47319 are 1, 3, 15773, 47319. There are 4 integers that are factors of 47319. The greatest factor of 47319 is 47319.

4. How to Find the LCM of 47312 and 47319?

Answer:

Least Common Multiple of 47312 and 47319 = 2238756528

Step 1: Find the prime factorization of 47312

47312 = 2 x 2 x 2 x 2 x 2957

Step 2: Find the prime factorization of 47319

47319 = 3 x 15773

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

LCM = 2238756528 = 2 x 2 x 2 x 2 x 3 x 2957 x 15773

Step 4: Therefore, the least common multiple of 47312 and 47319 is 2238756528.