Least Common Multiple of 740 and 742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 740 and 742 the smallest integer that is 274540 that is divisible by both numbers.

Least Common Multiple (LCM) of 740 and 742 is 274540.

LCM(740,742) = 274540

LCM of 740 and 742

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

LCM of:
and

Least Common Multiple of 740 and 742

LCM of 740 and 742 is 274540

Least common multiple can be found by multiplying the highest exponent prime factors of 740 and 742. First we will calculate the prime factors of 740 and 742.

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

Prime Factorization of 742


2 742
7 371
53 53
1

Prime factors of 742 are 2, 7,53. Prime factorization of 742 in exponential form is:

742 = 21×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 740 and 742.

LCM(740,742) = 22×51×71×371×531
LCM(740,742) = 274540

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

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Least Common Multiple of 740 and 742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 740 and 742, than apply into the LCM equation.

GCF(740,742) = 2
LCM(740,742) = ( 740 × 742) / 2
LCM(740,742) = 549080 / 2
LCM(740,742) = 274540

Properties of LCM 740 and 742

(i) The LCM of 742 and 740 is associative

LCM of 740 and 742 = LCM of 742 and 740

Related Least Common Multiples of 740

Related Least Common Multiples of 742

Frequently Asked Questions on LCM of 740 and 742

1. What is the LCM of 740 and 742?

Answer: LCM of 740 and 742 is 274540.

2. 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.

3. What are the Factors of 742?

Answer: Factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742. There are 8 integers that are factors of 742. The greatest factor of 742 is 742.

4. How to Find the LCM of 740 and 742?

Answer:

Least Common Multiple of 740 and 742 = 274540

Step 1: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

Step 2: Find the prime factorization of 742

742 = 2 x 7 x 53

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

LCM = 274540 = 2 x 2 x 5 x 7 x 37 x 53

Step 4: Therefore, the least common multiple of 740 and 742 is 274540.