Least Common Multiple of 733 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 733 and 740 the smallest integer that is 542420 that is divisible by both numbers.

Least Common Multiple (LCM) of 733 and 740 is 542420.

LCM(733,740) = 542420

LCM of 733 and 740

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

LCM of:
and

Least Common Multiple of 733 and 740

LCM of 733 and 740 is 542420

Least common multiple can be found by multiplying the highest exponent prime factors of 733 and 740. First we will calculate the prime factors of 733 and 740.

Prime Factorization of 733


733 733
1

Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:

733 = 7331

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 733 and 740.

LCM(733,740) = 22×51×371×7331
LCM(733,740) = 542420

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1, 733

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 733 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 733 and 740, than apply into the LCM equation.

GCF(733,740) = 1
LCM(733,740) = ( 733 × 740) / 1
LCM(733,740) = 542420 / 1
LCM(733,740) = 542420

Properties of LCM 733 and 740

(i) The LCM of 740 and 733 is associative

LCM of 733 and 740 = LCM of 740 and 733

Related Least Common Multiples of 733

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 733 and 740

1. What is the LCM of 733 and 740?

Answer: LCM of 733 and 740 is 542420.

2. What are the Factors of 733?

Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.

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 733 and 740?

Answer:

Least Common Multiple of 733 and 740 = 542420

Step 1: Find the prime factorization of 733

733 = 733

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 = 542420 = 2 x 2 x 5 x 37 x 733

Step 4: Therefore, the least common multiple of 733 and 740 is 542420.