Least Common Multiple of 742 and 749

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 749 the smallest integer that is 79394 that is divisible by both numbers.

Least Common Multiple (LCM) of 742 and 749 is 79394.

LCM(742,749) = 79394

LCM of 742 and 749

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

LCM of:
and

Least Common Multiple of 742 and 749

LCM of 742 and 749 is 79394

Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 749. First we will calculate the prime factors of 742 and 749.

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 749


7 749
107 107
1

Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:

749 = 71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 742 and 749.

LCM(742,749) = 21×71×531×1071
LCM(742,749) = 79394

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 749

List of positive integer factors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Least Common Multiple of 742 and 749 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 749, than apply into the LCM equation.

GCF(742,749) = 7
LCM(742,749) = ( 742 × 749) / 7
LCM(742,749) = 555758 / 7
LCM(742,749) = 79394

Properties of LCM 742 and 749

(i) The LCM of 749 and 742 is associative

LCM of 742 and 749 = LCM of 749 and 742

Related Least Common Multiples of 742

Related Least Common Multiples of 749

Frequently Asked Questions on LCM of 742 and 749

1. What is the LCM of 742 and 749?

Answer: LCM of 742 and 749 is 79394.

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 749?

Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.

4. How to Find the LCM of 742 and 749?

Answer:

Least Common Multiple of 742 and 749 = 79394

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

Step 2: Find the prime factorization of 749

749 = 7 x 107

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

LCM = 79394 = 2 x 7 x 53 x 107

Step 4: Therefore, the least common multiple of 742 and 749 is 79394.