Least Common Multiple of 9734 and 9736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9734 and 9736 the smallest integer that is 47385112 that is divisible by both numbers.

Least Common Multiple (LCM) of 9734 and 9736 is 47385112.

LCM(9734,9736) = 47385112

LCM of 9734 and 9736

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

LCM of:
and

Least Common Multiple of 9734 and 9736

LCM of 9734 and 9736 is 47385112

Least common multiple can be found by multiplying the highest exponent prime factors of 9734 and 9736. First we will calculate the prime factors of 9734 and 9736.

Prime Factorization of 9734


2 9734
31 4867
157 157
1

Prime factors of 9734 are 2, 31,157. Prime factorization of 9734 in exponential form is:

9734 = 21×311×1571

Prime Factorization of 9736


2 9736
2 4868
2 2434
1217 1217
1

Prime factors of 9736 are 2,1217. Prime factorization of 9736 in exponential form is:

9736 = 23×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 9734 and 9736.

LCM(9734,9736) = 23×311×1571×12171
LCM(9734,9736) = 47385112

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1, 2, 31, 62, 157, 314, 4867, 9734

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1, 2, 4, 8, 1217, 2434, 4868, 9736

Least Common Multiple of 9734 and 9736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9734 and 9736, than apply into the LCM equation.

GCF(9734,9736) = 2
LCM(9734,9736) = ( 9734 × 9736) / 2
LCM(9734,9736) = 94770224 / 2
LCM(9734,9736) = 47385112

Properties of LCM 9734 and 9736

(i) The LCM of 9736 and 9734 is associative

LCM of 9734 and 9736 = LCM of 9736 and 9734

Related Least Common Multiples of 9734

Related Least Common Multiples of 9736

Frequently Asked Questions on LCM of 9734 and 9736

1. What is the LCM of 9734 and 9736?

Answer: LCM of 9734 and 9736 is 47385112.

2. What are the Factors of 9734?

Answer: Factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734. There are 8 integers that are factors of 9734. The greatest factor of 9734 is 9734.

3. What are the Factors of 9736?

Answer: Factors of 9736 are 1, 2, 4, 8, 1217, 2434, 4868, 9736. There are 8 integers that are factors of 9736. The greatest factor of 9736 is 9736.

4. How to Find the LCM of 9734 and 9736?

Answer:

Least Common Multiple of 9734 and 9736 = 47385112

Step 1: Find the prime factorization of 9734

9734 = 2 x 31 x 157

Step 2: Find the prime factorization of 9736

9736 = 2 x 2 x 2 x 1217

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

LCM = 47385112 = 2 x 2 x 2 x 31 x 157 x 1217

Step 4: Therefore, the least common multiple of 9734 and 9736 is 47385112.