Least Common Multiple of 732 and 735

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 735 the smallest integer that is 179340 that is divisible by both numbers.

Least Common Multiple (LCM) of 732 and 735 is 179340.

LCM(732,735) = 179340

LCM of 732 and 735

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

LCM of:
and

Least Common Multiple of 732 and 735

LCM of 732 and 735 is 179340

Least common multiple can be found by multiplying the highest exponent prime factors of 732 and 735. First we will calculate the prime factors of 732 and 735.

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 735


3 735
5 245
7 49
7 7
1

Prime factors of 735 are 3, 5,7. Prime factorization of 735 in exponential form is:

735 = 31×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 732 and 735.

LCM(732,735) = 22×31×51×72×611
LCM(732,735) = 179340

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 735

List of positive integer factors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Least Common Multiple of 732 and 735 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 735, than apply into the LCM equation.

GCF(732,735) = 3
LCM(732,735) = ( 732 × 735) / 3
LCM(732,735) = 538020 / 3
LCM(732,735) = 179340

Properties of LCM 732 and 735

(i) The LCM of 735 and 732 is associative

LCM of 732 and 735 = LCM of 735 and 732

Related Least Common Multiples of 732

Related Least Common Multiples of 735

Frequently Asked Questions on LCM of 732 and 735

1. What is the LCM of 732 and 735?

Answer: LCM of 732 and 735 is 179340.

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 735?

Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.

4. How to Find the LCM of 732 and 735?

Answer:

Least Common Multiple of 732 and 735 = 179340

Step 1: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

Step 2: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

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

LCM = 179340 = 2 x 2 x 3 x 5 x 7 x 7 x 61

Step 4: Therefore, the least common multiple of 732 and 735 is 179340.