Least Common Multiple of 742 and 745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 742 and 745 the smallest integer that is 552790 that is divisible by both numbers.

Least Common Multiple (LCM) of 742 and 745 is 552790.

LCM(742,745) = 552790

LCM of 742 and 745

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

LCM of:
and

Least Common Multiple of 742 and 745

LCM of 742 and 745 is 552790

Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 745. First we will calculate the prime factors of 742 and 745.

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

Prime Factorization of 745


5 745
149 149
1

Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:

745 = 51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 742 and 745.

LCM(742,745) = 21×51×71×531×1491
LCM(742,745) = 552790

Factors of 742

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

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

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Least Common Multiple of 742 and 745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 742 and 745, than apply into the LCM equation.

GCF(742,745) = 1
LCM(742,745) = ( 742 × 745) / 1
LCM(742,745) = 552790 / 1
LCM(742,745) = 552790

Properties of LCM 742 and 745

(i) The LCM of 745 and 742 is associative

LCM of 742 and 745 = LCM of 745 and 742

Related Least Common Multiples of 742

Related Least Common Multiples of 745

Frequently Asked Questions on LCM of 742 and 745

1. What is the LCM of 742 and 745?

Answer: LCM of 742 and 745 is 552790.

2. 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.

3. What are the Factors of 745?

Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.

4. How to Find the LCM of 742 and 745?

Answer:

Least Common Multiple of 742 and 745 = 552790

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

Step 2: Find the prime factorization of 745

745 = 5 x 149

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

LCM = 552790 = 2 x 5 x 7 x 53 x 149

Step 4: Therefore, the least common multiple of 742 and 745 is 552790.