Least Common Multiple of 734 and 736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 734 and 736 the smallest integer that is 270112 that is divisible by both numbers.

Least Common Multiple (LCM) of 734 and 736 is 270112.

LCM(734,736) = 270112

LCM of 734 and 736

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

LCM of:
and

Least Common Multiple of 734 and 736

LCM of 734 and 736 is 270112

Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 736. First we will calculate the prime factors of 734 and 736.

Prime Factorization of 734


2 734
367 367
1

Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:

734 = 21×3671

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

Now multiplying the highest exponent prime factors to calculate the LCM of 734 and 736.

LCM(734,736) = 25×231×3671
LCM(734,736) = 270112

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Least Common Multiple of 734 and 736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 734 and 736, than apply into the LCM equation.

GCF(734,736) = 2
LCM(734,736) = ( 734 × 736) / 2
LCM(734,736) = 540224 / 2
LCM(734,736) = 270112

Properties of LCM 734 and 736

(i) The LCM of 736 and 734 is associative

LCM of 734 and 736 = LCM of 736 and 734

Related Least Common Multiples of 734

Related Least Common Multiples of 736

Frequently Asked Questions on LCM of 734 and 736

1. What is the LCM of 734 and 736?

Answer: LCM of 734 and 736 is 270112.

2. What are the Factors of 734?

Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.

3. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

4. How to Find the LCM of 734 and 736?

Answer:

Least Common Multiple of 734 and 736 = 270112

Step 1: Find the prime factorization of 734

734 = 2 x 367

Step 2: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

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

LCM = 270112 = 2 x 2 x 2 x 2 x 2 x 23 x 367

Step 4: Therefore, the least common multiple of 734 and 736 is 270112.