Least Common Multiple of 738 and 739

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 739 the smallest integer that is 545382 that is divisible by both numbers.

Least Common Multiple (LCM) of 738 and 739 is 545382.

LCM(738,739) = 545382

LCM of 738 and 739

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

LCM of:
and

Least Common Multiple of 738 and 739

LCM of 738 and 739 is 545382

Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 739. First we will calculate the prime factors of 738 and 739.

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 739


739 739
1

Prime factors of 739 are 739. Prime factorization of 739 in exponential form is:

739 = 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 738 and 739.

LCM(738,739) = 21×32×411×7391
LCM(738,739) = 545382

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 739

List of positive integer factors of 739 that divides 739 without a remainder.

1, 739

Least Common Multiple of 738 and 739 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 739, than apply into the LCM equation.

GCF(738,739) = 1
LCM(738,739) = ( 738 × 739) / 1
LCM(738,739) = 545382 / 1
LCM(738,739) = 545382

Properties of LCM 738 and 739

(i) The LCM of 739 and 738 is associative

LCM of 738 and 739 = LCM of 739 and 738

Related Least Common Multiples of 738

Related Least Common Multiples of 739

Frequently Asked Questions on LCM of 738 and 739

1. What is the LCM of 738 and 739?

Answer: LCM of 738 and 739 is 545382.

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 739?

Answer: Factors of 739 are 1, 739. There are 2 integers that are factors of 739. The greatest factor of 739 is 739.

4. How to Find the LCM of 738 and 739?

Answer:

Least Common Multiple of 738 and 739 = 545382

Step 1: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 739

739 = 739

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

LCM = 545382 = 2 x 3 x 3 x 41 x 739

Step 4: Therefore, the least common multiple of 738 and 739 is 545382.