Least Common Multiple of 739 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 739 and 740 the smallest integer that is 546860 that is divisible by both numbers.

Least Common Multiple (LCM) of 739 and 740 is 546860.

LCM(739,740) = 546860

LCM of 739 and 740

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

LCM of:
and

Least Common Multiple of 739 and 740

LCM of 739 and 740 is 546860

Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 740. First we will calculate the prime factors of 739 and 740.

Prime Factorization of 739


739 739
1

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

739 = 7391

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 739 and 740.

LCM(739,740) = 22×51×371×7391
LCM(739,740) = 546860

Factors of 739

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

1, 739

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 739 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 739 and 740, than apply into the LCM equation.

GCF(739,740) = 1
LCM(739,740) = ( 739 × 740) / 1
LCM(739,740) = 546860 / 1
LCM(739,740) = 546860

Properties of LCM 739 and 740

(i) The LCM of 740 and 739 is associative

LCM of 739 and 740 = LCM of 740 and 739

Related Least Common Multiples of 739

Related Least Common Multiples of 740

Frequently Asked Questions on LCM of 739 and 740

1. What is the LCM of 739 and 740?

Answer: LCM of 739 and 740 is 546860.

2. 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.

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 739 and 740?

Answer:

Least Common Multiple of 739 and 740 = 546860

Step 1: Find the prime factorization of 739

739 = 739

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 = 546860 = 2 x 2 x 5 x 37 x 739

Step 4: Therefore, the least common multiple of 739 and 740 is 546860.