Least Common Multiple of 736 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 736 and 739 the smallest integer that is 543904 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 739 is 543904.

LCM(736,739) = 543904

LCM of 736 and 739

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

LCM of:
and

Least Common Multiple of 736 and 739

LCM of 736 and 739 is 543904

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 739. First we will calculate the prime factors of 736 and 739.

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

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 736 and 739.

LCM(736,739) = 25×231×7391
LCM(736,739) = 543904

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

Factors of 739

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

1, 739

Least Common Multiple of 736 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 736 and 739, than apply into the LCM equation.

GCF(736,739) = 1
LCM(736,739) = ( 736 × 739) / 1
LCM(736,739) = 543904 / 1
LCM(736,739) = 543904

Properties of LCM 736 and 739

(i) The LCM of 739 and 736 is associative

LCM of 736 and 739 = LCM of 739 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 739

Frequently Asked Questions on LCM of 736 and 739

1. What is the LCM of 736 and 739?

Answer: LCM of 736 and 739 is 543904.

2. 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.

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 736 and 739?

Answer:

Least Common Multiple of 736 and 739 = 543904

Step 1: Find the prime factorization of 736

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

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 = 543904 = 2 x 2 x 2 x 2 x 2 x 23 x 739

Step 4: Therefore, the least common multiple of 736 and 739 is 543904.