Least Common Multiple of 742 and 746

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 746 the smallest integer that is 276766 that is divisible by both numbers.

Least Common Multiple (LCM) of 742 and 746 is 276766.

LCM(742,746) = 276766

LCM of 742 and 746

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

LCM of:
and

Least Common Multiple of 742 and 746

LCM of 742 and 746 is 276766

Least common multiple can be found by multiplying the highest exponent prime factors of 742 and 746. First we will calculate the prime factors of 742 and 746.

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 746


2 746
373 373
1

Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:

746 = 21×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 742 and 746.

LCM(742,746) = 21×71×531×3731
LCM(742,746) = 276766

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 746

List of positive integer factors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Least Common Multiple of 742 and 746 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 746, than apply into the LCM equation.

GCF(742,746) = 2
LCM(742,746) = ( 742 × 746) / 2
LCM(742,746) = 553532 / 2
LCM(742,746) = 276766

Properties of LCM 742 and 746

(i) The LCM of 746 and 742 is associative

LCM of 742 and 746 = LCM of 746 and 742

Frequently Asked Questions on LCM of 742 and 746

1. What is the LCM of 742 and 746?

Answer: LCM of 742 and 746 is 276766.

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 746?

Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.

4. How to Find the LCM of 742 and 746?

Answer:

Least Common Multiple of 742 and 746 = 276766

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

Step 2: Find the prime factorization of 746

746 = 2 x 373

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

LCM = 276766 = 2 x 7 x 53 x 373

Step 4: Therefore, the least common multiple of 742 and 746 is 276766.