Least Common Multiple of 732 and 739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 732 and 739 the smallest integer that is 540948 that is divisible by both numbers.

Least Common Multiple (LCM) of 732 and 739 is 540948.

LCM(732,739) = 540948

LCM of 732 and 739

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

LCM of:
and

Least Common Multiple of 732 and 739

LCM of 732 and 739 is 540948

Least common multiple can be found by multiplying the highest exponent prime factors of 732 and 739. First we will calculate the prime factors of 732 and 739.

Prime Factorization of 732


2 732
2 366
3 183
61 61
1

Prime factors of 732 are 2, 3,61. Prime factorization of 732 in exponential form is:

732 = 22×31×611

Prime Factorization of 739


739 739
1

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

739 = 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 732 and 739.

LCM(732,739) = 22×31×611×7391
LCM(732,739) = 540948

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Factors of 739

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

1, 739

Least Common Multiple of 732 and 739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 732 and 739, than apply into the LCM equation.

GCF(732,739) = 1
LCM(732,739) = ( 732 × 739) / 1
LCM(732,739) = 540948 / 1
LCM(732,739) = 540948

Properties of LCM 732 and 739

(i) The LCM of 739 and 732 is associative

LCM of 732 and 739 = LCM of 739 and 732

Related Least Common Multiples of 732

Related Least Common Multiples of 739

Frequently Asked Questions on LCM of 732 and 739

1. What is the LCM of 732 and 739?

Answer: LCM of 732 and 739 is 540948.

2. What are the Factors of 732?

Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.

3. 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.

4. How to Find the LCM of 732 and 739?

Answer:

Least Common Multiple of 732 and 739 = 540948

Step 1: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

Step 2: Find the prime factorization of 739

739 = 739

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

LCM = 540948 = 2 x 2 x 3 x 61 x 739

Step 4: Therefore, the least common multiple of 732 and 739 is 540948.