Least Common Multiple of 732 and 740

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 740 the smallest integer that is 135420 that is divisible by both numbers.

Least Common Multiple (LCM) of 732 and 740 is 135420.

LCM(732,740) = 135420

LCM of 732 and 740

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

LCM of:
and

Least Common Multiple of 732 and 740

LCM of 732 and 740 is 135420

Least common multiple can be found by multiplying the highest exponent prime factors of 732 and 740. First we will calculate the prime factors of 732 and 740.

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 740


2 740
2 370
5 185
37 37
1

Prime factors of 740 are 2, 5,37. Prime factorization of 740 in exponential form is:

740 = 22×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 732 and 740.

LCM(732,740) = 22×31×51×371×611
LCM(732,740) = 135420

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 740

List of positive integer factors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Least Common Multiple of 732 and 740 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 740, than apply into the LCM equation.

GCF(732,740) = 4
LCM(732,740) = ( 732 × 740) / 4
LCM(732,740) = 541680 / 4
LCM(732,740) = 135420

Properties of LCM 732 and 740

(i) The LCM of 740 and 732 is associative

LCM of 732 and 740 = LCM of 740 and 732

Related Least Common Multiples of 732

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 732 and 740

1. What is the LCM of 732 and 740?

Answer: LCM of 732 and 740 is 135420.

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 740?

Answer: Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 integers that are factors of 740. The greatest factor of 740 is 740.

4. How to Find the LCM of 732 and 740?

Answer:

Least Common Multiple of 732 and 740 = 135420

Step 1: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

Step 2: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

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

LCM = 135420 = 2 x 2 x 3 x 5 x 37 x 61

Step 4: Therefore, the least common multiple of 732 and 740 is 135420.