Least Common Multiple of 739 and 745

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 745 the smallest integer that is 550555 that is divisible by both numbers.

Least Common Multiple (LCM) of 739 and 745 is 550555.

LCM(739,745) = 550555

LCM of 739 and 745

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

LCM of:
and

Least Common Multiple of 739 and 745

LCM of 739 and 745 is 550555

Least common multiple can be found by multiplying the highest exponent prime factors of 739 and 745. First we will calculate the prime factors of 739 and 745.

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 745


5 745
149 149
1

Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:

745 = 51×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 739 and 745.

LCM(739,745) = 51×1491×7391
LCM(739,745) = 550555

Factors of 739

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

1, 739

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Least Common Multiple of 739 and 745 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 745, than apply into the LCM equation.

GCF(739,745) = 1
LCM(739,745) = ( 739 × 745) / 1
LCM(739,745) = 550555 / 1
LCM(739,745) = 550555

Properties of LCM 739 and 745

(i) The LCM of 745 and 739 is associative

LCM of 739 and 745 = LCM of 745 and 739

Related Least Common Multiples of 739

Related Least Common Multiples of 745

Frequently Asked Questions on LCM of 739 and 745

1. What is the LCM of 739 and 745?

Answer: LCM of 739 and 745 is 550555.

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 745?

Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.

4. How to Find the LCM of 739 and 745?

Answer:

Least Common Multiple of 739 and 745 = 550555

Step 1: Find the prime factorization of 739

739 = 739

Step 2: Find the prime factorization of 745

745 = 5 x 149

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

LCM = 550555 = 5 x 149 x 739

Step 4: Therefore, the least common multiple of 739 and 745 is 550555.