Least Common Multiple of 734 and 740

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 740 the smallest integer that is 271580 that is divisible by both numbers.

Least Common Multiple (LCM) of 734 and 740 is 271580.

LCM(734,740) = 271580

LCM of 734 and 740

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

LCM of:
and

Least Common Multiple of 734 and 740

LCM of 734 and 740 is 271580

Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 740. First we will calculate the prime factors of 734 and 740.

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 740


2 740
2 370
5 185
37 37
1

Prime factors of 740 are 2, 5,37. Prime factorization of 740 in exponential form is:

740 = 22×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 734 and 740.

LCM(734,740) = 22×51×371×3671
LCM(734,740) = 271580

Factors of 734

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

1, 2, 367, 734

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Least Common Multiple of 734 and 740 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 740, than apply into the LCM equation.

GCF(734,740) = 2
LCM(734,740) = ( 734 × 740) / 2
LCM(734,740) = 543160 / 2
LCM(734,740) = 271580

Properties of LCM 734 and 740

(i) The LCM of 740 and 734 is associative

LCM of 734 and 740 = LCM of 740 and 734

Related Least Common Multiples of 734

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 734 and 740

1. What is the LCM of 734 and 740?

Answer: LCM of 734 and 740 is 271580.

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 740?

Answer: Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 integers that are factors of 740. The greatest factor of 740 is 740.

4. How to Find the LCM of 734 and 740?

Answer:

Least Common Multiple of 734 and 740 = 271580

Step 1: Find the prime factorization of 734

734 = 2 x 367

Step 2: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

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

LCM = 271580 = 2 x 2 x 5 x 37 x 367

Step 4: Therefore, the least common multiple of 734 and 740 is 271580.