Least Common Multiple of 47306 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 47306 and 47312 the smallest integer that is 1119070736 that is divisible by both numbers.

Least Common Multiple (LCM) of 47306 and 47312 is 1119070736.

LCM(47306,47312) = 1119070736

LCM of 47306 and 47312

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

LCM of:
and

Least Common Multiple of 47306 and 47312

LCM of 47306 and 47312 is 1119070736

Least common multiple can be found by multiplying the highest exponent prime factors of 47306 and 47312. First we will calculate the prime factors of 47306 and 47312.

Prime Factorization of 47306


2 47306
7 23653
31 3379
109 109
1

Prime factors of 47306 are 2, 7, 31,109. Prime factorization of 47306 in exponential form is:

47306 = 21×71×311×1091

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 47306 and 47312.

LCM(47306,47312) = 24×71×311×1091×29571
LCM(47306,47312) = 1119070736

Factors of 47306

List of positive integer factors of 47306 that divides 47306 without a remainder.

1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306

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 47306 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 47306 and 47312, than apply into the LCM equation.

GCF(47306,47312) = 2
LCM(47306,47312) = ( 47306 × 47312) / 2
LCM(47306,47312) = 2238141472 / 2
LCM(47306,47312) = 1119070736

Properties of LCM 47306 and 47312

(i) The LCM of 47312 and 47306 is associative

LCM of 47306 and 47312 = LCM of 47312 and 47306

Related Least Common Multiples of 47306

Related Least Common Multiples of 47312

Frequently Asked Questions on LCM of 47306 and 47312

1. What is the LCM of 47306 and 47312?

Answer: LCM of 47306 and 47312 is 1119070736.

2. What are the Factors of 47306?

Answer: Factors of 47306 are 1, 2, 7, 14, 31, 62, 109, 217, 218, 434, 763, 1526, 3379, 6758, 23653, 47306. There are 16 integers that are factors of 47306. The greatest factor of 47306 is 47306.

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 47306 and 47312?

Answer:

Least Common Multiple of 47306 and 47312 = 1119070736

Step 1: Find the prime factorization of 47306

47306 = 2 x 7 x 31 x 109

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 = 1119070736 = 2 x 2 x 2 x 2 x 7 x 31 x 109 x 2957

Step 4: Therefore, the least common multiple of 47306 and 47312 is 1119070736.