Least Common Multiple of 736 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 736 and 740 the smallest integer that is 136160 that is divisible by both numbers.

Least Common Multiple (LCM) of 736 and 740 is 136160.

LCM(736,740) = 136160

LCM of 736 and 740

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

LCM of:
and

Least Common Multiple of 736 and 740

LCM of 736 and 740 is 136160

Least common multiple can be found by multiplying the highest exponent prime factors of 736 and 740. First we will calculate the prime factors of 736 and 740.

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 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 736 and 740.

LCM(736,740) = 25×51×231×371
LCM(736,740) = 136160

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 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 736 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 736 and 740, than apply into the LCM equation.

GCF(736,740) = 4
LCM(736,740) = ( 736 × 740) / 4
LCM(736,740) = 544640 / 4
LCM(736,740) = 136160

Properties of LCM 736 and 740

(i) The LCM of 740 and 736 is associative

LCM of 736 and 740 = LCM of 740 and 736

Related Least Common Multiples of 736

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 736 and 740

1. What is the LCM of 736 and 740?

Answer: LCM of 736 and 740 is 136160.

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 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 736 and 740?

Answer:

Least Common Multiple of 736 and 740 = 136160

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 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 = 136160 = 2 x 2 x 2 x 2 x 2 x 5 x 23 x 37

Step 4: Therefore, the least common multiple of 736 and 740 is 136160.