Least Common Multiple of 727 and 734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 727 and 734 the smallest integer that is 533618 that is divisible by both numbers.

Least Common Multiple (LCM) of 727 and 734 is 533618.

LCM(727,734) = 533618

LCM of 727 and 734

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

LCM of:
and

Least Common Multiple of 727 and 734

LCM of 727 and 734 is 533618

Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 734. First we will calculate the prime factors of 727 and 734.

Prime Factorization of 727


727 727
1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

Prime Factorization of 734


2 734
367 367
1

Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:

734 = 21×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 734.

LCM(727,734) = 21×3671×7271
LCM(727,734) = 533618

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1, 727

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Least Common Multiple of 727 and 734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 727 and 734, than apply into the LCM equation.

GCF(727,734) = 1
LCM(727,734) = ( 727 × 734) / 1
LCM(727,734) = 533618 / 1
LCM(727,734) = 533618

Properties of LCM 727 and 734

(i) The LCM of 734 and 727 is associative

LCM of 727 and 734 = LCM of 734 and 727

Related Least Common Multiples of 727

Related Least Common Multiples of 734

Frequently Asked Questions on LCM of 727 and 734

1. What is the LCM of 727 and 734?

Answer: LCM of 727 and 734 is 533618.

2. What are the Factors of 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

3. What are the Factors of 734?

Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.

4. How to Find the LCM of 727 and 734?

Answer:

Least Common Multiple of 727 and 734 = 533618

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 734

734 = 2 x 367

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

LCM = 533618 = 2 x 367 x 727

Step 4: Therefore, the least common multiple of 727 and 734 is 533618.