Least Common Multiple of 737 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 737 and 742 the smallest integer that is 546854 that is divisible by both numbers.

Least Common Multiple (LCM) of 737 and 742 is 546854.

LCM(737,742) = 546854

LCM of 737 and 742

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

LCM of:
and

Least Common Multiple of 737 and 742

LCM of 737 and 742 is 546854

Least common multiple can be found by multiplying the highest exponent prime factors of 737 and 742. First we will calculate the prime factors of 737 and 742.

Prime Factorization of 737


11 737
67 67
1

Prime factors of 737 are 11,67. Prime factorization of 737 in exponential form is:

737 = 111×671

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 737 and 742.

LCM(737,742) = 21×71×111×531×671
LCM(737,742) = 546854

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1, 11, 67, 737

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 737 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 737 and 742, than apply into the LCM equation.

GCF(737,742) = 1
LCM(737,742) = ( 737 × 742) / 1
LCM(737,742) = 546854 / 1
LCM(737,742) = 546854

Properties of LCM 737 and 742

(i) The LCM of 742 and 737 is associative

LCM of 737 and 742 = LCM of 742 and 737

Related Least Common Multiples of 737

Related Least Common Multiples of 742

Frequently Asked Questions on LCM of 737 and 742

1. What is the LCM of 737 and 742?

Answer: LCM of 737 and 742 is 546854.

2. What are the Factors of 737?

Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.

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 737 and 742?

Answer:

Least Common Multiple of 737 and 742 = 546854

Step 1: Find the prime factorization of 737

737 = 11 x 67

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 = 546854 = 2 x 7 x 11 x 53 x 67

Step 4: Therefore, the least common multiple of 737 and 742 is 546854.