Least Common Multiple of 734 and 739

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 739 the smallest integer that is 542426 that is divisible by both numbers.

Least Common Multiple (LCM) of 734 and 739 is 542426.

LCM(734,739) = 542426

LCM of 734 and 739

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

LCM of:
and

Least Common Multiple of 734 and 739

LCM of 734 and 739 is 542426

Least common multiple can be found by multiplying the highest exponent prime factors of 734 and 739. First we will calculate the prime factors of 734 and 739.

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 739


739 739
1

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 734 and 739.

LCM(734,739) = 21×3671×7391
LCM(734,739) = 542426

Factors of 734

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

1, 2, 367, 734

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1, 739

Least Common Multiple of 734 and 739 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 739, than apply into the LCM equation.

GCF(734,739) = 1
LCM(734,739) = ( 734 × 739) / 1
LCM(734,739) = 542426 / 1
LCM(734,739) = 542426

Properties of LCM 734 and 739

(i) The LCM of 739 and 734 is associative

LCM of 734 and 739 = LCM of 739 and 734

Related Least Common Multiples of 734

Related Least Common Multiples of 739

Frequently Asked Questions on LCM of 734 and 739

1. What is the LCM of 734 and 739?

Answer: LCM of 734 and 739 is 542426.

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 739?

Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.

4. How to Find the LCM of 734 and 739?

Answer:

Least Common Multiple of 734 and 739 = 542426

Step 1: Find the prime factorization of 734

734 = 2 x 367

Step 2: Find the prime factorization of 739

739 = 739

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

LCM = 542426 = 2 x 367 x 739

Step 4: Therefore, the least common multiple of 734 and 739 is 542426.