Least Common Multiple of 732 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 732 and 736 the smallest integer that is 134688 that is divisible by both numbers.

Least Common Multiple (LCM) of 732 and 736 is 134688.

LCM(732,736) = 134688

LCM of 732 and 736

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

LCM of:
and

Least Common Multiple of 732 and 736

LCM of 732 and 736 is 134688

Least common multiple can be found by multiplying the highest exponent prime factors of 732 and 736. First we will calculate the prime factors of 732 and 736.

Prime Factorization of 732


2 732
2 366
3 183
61 61
1

Prime factors of 732 are 2, 3,61. Prime factorization of 732 in exponential form is:

732 = 22×31×611

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 732 and 736.

LCM(732,736) = 25×31×231×611
LCM(732,736) = 134688

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 732 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 732 and 736, than apply into the LCM equation.

GCF(732,736) = 4
LCM(732,736) = ( 732 × 736) / 4
LCM(732,736) = 538752 / 4
LCM(732,736) = 134688

Properties of LCM 732 and 736

(i) The LCM of 736 and 732 is associative

LCM of 732 and 736 = LCM of 736 and 732

Related Least Common Multiples of 732

Related Least Common Multiples of 736

Frequently Asked Questions on LCM of 732 and 736

1. What is the LCM of 732 and 736?

Answer: LCM of 732 and 736 is 134688.

2. What are the Factors of 732?

Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.

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 732 and 736?

Answer:

Least Common Multiple of 732 and 736 = 134688

Step 1: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

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 = 134688 = 2 x 2 x 2 x 2 x 2 x 3 x 23 x 61

Step 4: Therefore, the least common multiple of 732 and 736 is 134688.