Least Common Multiple of 47309 and 47312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47309 and 47312 the smallest integer that is 2238283408 that is divisible by both numbers.

Least Common Multiple (LCM) of 47309 and 47312 is 2238283408.

LCM(47309,47312) = 2238283408

LCM of 47309 and 47312

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

LCM of:
and

Least Common Multiple of 47309 and 47312

LCM of 47309 and 47312 is 2238283408

Least common multiple can be found by multiplying the highest exponent prime factors of 47309 and 47312. First we will calculate the prime factors of 47309 and 47312.

Prime Factorization of 47309


47309 47309
1

Prime factors of 47309 are 47309. Prime factorization of 47309 in exponential form is:

47309 = 473091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 47309 and 47312.

LCM(47309,47312) = 24×29571×473091
LCM(47309,47312) = 2238283408

Factors of 47309

List of positive integer factors of 47309 that divides 47309 without a remainder.

1, 47309

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

Least Common Multiple of 47309 and 47312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47309 and 47312, than apply into the LCM equation.

GCF(47309,47312) = 1
LCM(47309,47312) = ( 47309 × 47312) / 1
LCM(47309,47312) = 2238283408 / 1
LCM(47309,47312) = 2238283408

Properties of LCM 47309 and 47312

(i) The LCM of 47312 and 47309 is associative

LCM of 47309 and 47312 = LCM of 47312 and 47309

Related Least Common Multiples of 47309

Related Least Common Multiples of 47312

Frequently Asked Questions on LCM of 47309 and 47312

1. What is the LCM of 47309 and 47312?

Answer: LCM of 47309 and 47312 is 2238283408.

2. What are the Factors of 47309?

Answer: Factors of 47309 are 1, 47309. There are 2 integers that are factors of 47309. The greatest factor of 47309 is 47309.

3. 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.

4. How to Find the LCM of 47309 and 47312?

Answer:

Least Common Multiple of 47309 and 47312 = 2238283408

Step 1: Find the prime factorization of 47309

47309 = 47309

Step 2: Find the prime factorization of 47312

47312 = 2 x 2 x 2 x 2 x 2957

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

LCM = 2238283408 = 2 x 2 x 2 x 2 x 2957 x 47309

Step 4: Therefore, the least common multiple of 47309 and 47312 is 2238283408.