Least Common Multiple of 736 and 737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 736 and 737 the smallest integer that is 542432 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 737 is 542432.

LCM(736,737) = 542432

LCM of 736 and 737

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

LCM of:
and

Least Common Multiple of 736 and 737

LCM of 736 and 737 is 542432

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 737. First we will calculate the prime factors of 736 and 737.

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 736 and 737.

LCM(736,737) = 25×111×231×671
LCM(736,737) = 542432

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Factors of 737

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

1, 11, 67, 737

Least Common Multiple of 736 and 737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 736 and 737, than apply into the LCM equation.

GCF(736,737) = 1
LCM(736,737) = ( 736 × 737) / 1
LCM(736,737) = 542432 / 1
LCM(736,737) = 542432

Properties of LCM 736 and 737

(i) The LCM of 737 and 736 is associative

LCM of 736 and 737 = LCM of 737 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 737

Frequently Asked Questions on LCM of 736 and 737

1. What is the LCM of 736 and 737?

Answer: LCM of 736 and 737 is 542432.

2. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

3. 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.

4. How to Find the LCM of 736 and 737?

Answer:

Least Common Multiple of 736 and 737 = 542432

Step 1: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 737

737 = 11 x 67

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

LCM = 542432 = 2 x 2 x 2 x 2 x 2 x 11 x 23 x 67

Step 4: Therefore, the least common multiple of 736 and 737 is 542432.