Least Common Multiple of 738 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 738 and 740 the smallest integer that is 273060 that is divisible by both numbers.

Least Common Multiple (LCM) of 738 and 740 is 273060.

LCM(738,740) = 273060

LCM of 738 and 740

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

LCM of:
and

Least Common Multiple of 738 and 740

LCM of 738 and 740 is 273060

Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 740. First we will calculate the prime factors of 738 and 740.

Prime Factorization of 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

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 738 and 740.

LCM(738,740) = 22×32×51×371×411
LCM(738,740) = 273060

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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 738 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 738 and 740, than apply into the LCM equation.

GCF(738,740) = 2
LCM(738,740) = ( 738 × 740) / 2
LCM(738,740) = 546120 / 2
LCM(738,740) = 273060

Properties of LCM 738 and 740

(i) The LCM of 740 and 738 is associative

LCM of 738 and 740 = LCM of 740 and 738

Related Least Common Multiples of 738

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 738 and 740

1. What is the LCM of 738 and 740?

Answer: LCM of 738 and 740 is 273060.

2. What are the Factors of 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

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 738 and 740?

Answer:

Least Common Multiple of 738 and 740 = 273060

Step 1: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

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 = 273060 = 2 x 2 x 3 x 3 x 5 x 37 x 41

Step 4: Therefore, the least common multiple of 738 and 740 is 273060.