Least Common Multiple of 737 and 740

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 740 the smallest integer that is 545380 that is divisible by both numbers.

Least Common Multiple (LCM) of 737 and 740 is 545380.

LCM(737,740) = 545380

LCM of 737 and 740

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

LCM of:
and

Least Common Multiple of 737 and 740

LCM of 737 and 740 is 545380

Least common multiple can be found by multiplying the highest exponent prime factors of 737 and 740. First we will calculate the prime factors of 737 and 740.

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 740


2 740
2 370
5 185
37 37
1

Prime factors of 740 are 2, 5,37. Prime factorization of 740 in exponential form is:

740 = 22×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 737 and 740.

LCM(737,740) = 22×51×111×371×671
LCM(737,740) = 545380

Factors of 737

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

1, 11, 67, 737

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Least Common Multiple of 737 and 740 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 740, than apply into the LCM equation.

GCF(737,740) = 1
LCM(737,740) = ( 737 × 740) / 1
LCM(737,740) = 545380 / 1
LCM(737,740) = 545380

Properties of LCM 737 and 740

(i) The LCM of 740 and 737 is associative

LCM of 737 and 740 = LCM of 740 and 737

Related Least Common Multiples of 737

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 737 and 740

1. What is the LCM of 737 and 740?

Answer: LCM of 737 and 740 is 545380.

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 740?

Answer: Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 integers that are factors of 740. The greatest factor of 740 is 740.

4. How to Find the LCM of 737 and 740?

Answer:

Least Common Multiple of 737 and 740 = 545380

Step 1: Find the prime factorization of 737

737 = 11 x 67

Step 2: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

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

LCM = 545380 = 2 x 2 x 5 x 11 x 37 x 67

Step 4: Therefore, the least common multiple of 737 and 740 is 545380.