Least Common Multiple of 735 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 735 and 736 the smallest integer that is 540960 that is divisible by both numbers.

Least Common Multiple (LCM) of 735 and 736 is 540960.

LCM(735,736) = 540960

LCM of 735 and 736

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

LCM of:
and

Least Common Multiple of 735 and 736

LCM of 735 and 736 is 540960

Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 736. First we will calculate the prime factors of 735 and 736.

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

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 735 and 736.

LCM(735,736) = 25×31×51×72×231
LCM(735,736) = 540960

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

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 735 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 735 and 736, than apply into the LCM equation.

GCF(735,736) = 1
LCM(735,736) = ( 735 × 736) / 1
LCM(735,736) = 540960 / 1
LCM(735,736) = 540960

Properties of LCM 735 and 736

(i) The LCM of 736 and 735 is associative

LCM of 735 and 736 = LCM of 736 and 735

Related Least Common Multiples of 735

Related Least Common Multiples of 736

Frequently Asked Questions on LCM of 735 and 736

1. What is the LCM of 735 and 736?

Answer: LCM of 735 and 736 is 540960.

2. 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.

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 735 and 736?

Answer:

Least Common Multiple of 735 and 736 = 540960

Step 1: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

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 = 540960 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 23

Step 4: Therefore, the least common multiple of 735 and 736 is 540960.