Least Common Multiple of 735 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 735 and 740 the smallest integer that is 108780 that is divisible by both numbers.

Least Common Multiple (LCM) of 735 and 740 is 108780.

LCM(735,740) = 108780

LCM of 735 and 740

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

LCM of:
and

Least Common Multiple of 735 and 740

LCM of 735 and 740 is 108780

Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 740. First we will calculate the prime factors of 735 and 740.

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 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 735 and 740.

LCM(735,740) = 22×31×51×72×371
LCM(735,740) = 108780

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 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 735 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 735 and 740, than apply into the LCM equation.

GCF(735,740) = 5
LCM(735,740) = ( 735 × 740) / 5
LCM(735,740) = 543900 / 5
LCM(735,740) = 108780

Properties of LCM 735 and 740

(i) The LCM of 740 and 735 is associative

LCM of 735 and 740 = LCM of 740 and 735

Related Least Common Multiples of 735

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 735 and 740

1. What is the LCM of 735 and 740?

Answer: LCM of 735 and 740 is 108780.

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 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 735 and 740?

Answer:

Least Common Multiple of 735 and 740 = 108780

Step 1: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

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 = 108780 = 2 x 2 x 3 x 5 x 7 x 7 x 37

Step 4: Therefore, the least common multiple of 735 and 740 is 108780.