Least Common Multiple of 737 and 738

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 738 the smallest integer that is 543906 that is divisible by both numbers.

Least Common Multiple (LCM) of 737 and 738 is 543906.

LCM(737,738) = 543906

LCM of 737 and 738

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

LCM of:
and

Least Common Multiple of 737 and 738

LCM of 737 and 738 is 543906

Least common multiple can be found by multiplying the highest exponent prime factors of 737 and 738. First we will calculate the prime factors of 737 and 738.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 737 and 738.

LCM(737,738) = 21×32×111×411×671
LCM(737,738) = 543906

Factors of 737

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

1, 11, 67, 737

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

Least Common Multiple of 737 and 738 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 738, than apply into the LCM equation.

GCF(737,738) = 1
LCM(737,738) = ( 737 × 738) / 1
LCM(737,738) = 543906 / 1
LCM(737,738) = 543906

Properties of LCM 737 and 738

(i) The LCM of 738 and 737 is associative

LCM of 737 and 738 = LCM of 738 and 737

Related Least Common Multiples of 737

Related Least Common Multiples of 738

Frequently Asked Questions on LCM of 737 and 738

1. What is the LCM of 737 and 738?

Answer: LCM of 737 and 738 is 543906.

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 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.

4. How to Find the LCM of 737 and 738?

Answer:

Least Common Multiple of 737 and 738 = 543906

Step 1: Find the prime factorization of 737

737 = 11 x 67

Step 2: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

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

LCM = 543906 = 2 x 3 x 3 x 11 x 41 x 67

Step 4: Therefore, the least common multiple of 737 and 738 is 543906.