Least Common Multiple of 736 and 738

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 738 the smallest integer that is 271584 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 738 is 271584.

LCM(736,738) = 271584

LCM of 736 and 738

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

LCM of:
and

Least Common Multiple of 736 and 738

LCM of 736 and 738 is 271584

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 738. First we will calculate the prime factors of 736 and 738.

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 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 736 and 738.

LCM(736,738) = 25×32×231×411
LCM(736,738) = 271584

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 738

List of positive integer factors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Least Common Multiple of 736 and 738 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 738, than apply into the LCM equation.

GCF(736,738) = 2
LCM(736,738) = ( 736 × 738) / 2
LCM(736,738) = 543168 / 2
LCM(736,738) = 271584

Properties of LCM 736 and 738

(i) The LCM of 738 and 736 is associative

LCM of 736 and 738 = LCM of 738 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 738

Frequently Asked Questions on LCM of 736 and 738

1. What is the LCM of 736 and 738?

Answer: LCM of 736 and 738 is 271584.

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 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

4. How to Find the LCM of 736 and 738?

Answer:

Least Common Multiple of 736 and 738 = 271584

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 738

738 = 2 x 3 x 3 x 41

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

LCM = 271584 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23 x 41

Step 4: Therefore, the least common multiple of 736 and 738 is 271584.