Least Common Multiple of 732 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 732 and 738 the smallest integer that is 90036 that is divisible by both numbers.

Least Common Multiple (LCM) of 732 and 738 is 90036.

LCM(732,738) = 90036

LCM of 732 and 738

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

LCM of:
and

Least Common Multiple of 732 and 738

LCM of 732 and 738 is 90036

Least common multiple can be found by multiplying the highest exponent prime factors of 732 and 738. First we will calculate the prime factors of 732 and 738.

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 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 732 and 738.

LCM(732,738) = 22×32×411×611
LCM(732,738) = 90036

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 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 732 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 732 and 738, than apply into the LCM equation.

GCF(732,738) = 6
LCM(732,738) = ( 732 × 738) / 6
LCM(732,738) = 540216 / 6
LCM(732,738) = 90036

Properties of LCM 732 and 738

(i) The LCM of 738 and 732 is associative

LCM of 732 and 738 = LCM of 738 and 732

Related Least Common Multiples of 732

Related Least Common Multiples of 738

Frequently Asked Questions on LCM of 732 and 738

1. What is the LCM of 732 and 738?

Answer: LCM of 732 and 738 is 90036.

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 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 732 and 738?

Answer:

Least Common Multiple of 732 and 738 = 90036

Step 1: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

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 = 90036 = 2 x 2 x 3 x 3 x 41 x 61

Step 4: Therefore, the least common multiple of 732 and 738 is 90036.