Least Common Multiple of 738 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 738 and 746 the smallest integer that is 275274 that is divisible by both numbers.

Least Common Multiple (LCM) of 738 and 746 is 275274.

LCM(738,746) = 275274

LCM of 738 and 746

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

LCM of:
and

Least Common Multiple of 738 and 746

LCM of 738 and 746 is 275274

Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 746. First we will calculate the prime factors of 738 and 746.

Prime Factorization of 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

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 738 and 746.

LCM(738,746) = 21×32×411×3731
LCM(738,746) = 275274

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Factors of 746

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

1, 2, 373, 746

Least Common Multiple of 738 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 738 and 746, than apply into the LCM equation.

GCF(738,746) = 2
LCM(738,746) = ( 738 × 746) / 2
LCM(738,746) = 550548 / 2
LCM(738,746) = 275274

Properties of LCM 738 and 746

(i) The LCM of 746 and 738 is associative

LCM of 738 and 746 = LCM of 746 and 738

Related Least Common Multiples of 738

Related Least Common Multiples of 746

Frequently Asked Questions on LCM of 738 and 746

1. What is the LCM of 738 and 746?

Answer: LCM of 738 and 746 is 275274.

2. What are the Factors of 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

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 738 and 746?

Answer:

Least Common Multiple of 738 and 746 = 275274

Step 1: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

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 = 275274 = 2 x 3 x 3 x 41 x 373

Step 4: Therefore, the least common multiple of 738 and 746 is 275274.