Least Common Multiple of 727 and 732

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 732 the smallest integer that is 532164 that is divisible by both numbers.

Least Common Multiple (LCM) of 727 and 732 is 532164.

LCM(727,732) = 532164

LCM of 727 and 732

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

LCM of:
and

Least Common Multiple of 727 and 732

LCM of 727 and 732 is 532164

Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 732. First we will calculate the prime factors of 727 and 732.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 732.

LCM(727,732) = 22×31×611×7271
LCM(727,732) = 532164

Factors of 727

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

1, 727

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

Least Common Multiple of 727 and 732 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 732, than apply into the LCM equation.

GCF(727,732) = 1
LCM(727,732) = ( 727 × 732) / 1
LCM(727,732) = 532164 / 1
LCM(727,732) = 532164

Properties of LCM 727 and 732

(i) The LCM of 732 and 727 is associative

LCM of 727 and 732 = LCM of 732 and 727

Related Least Common Multiples of 727

Related Least Common Multiples of 732

Frequently Asked Questions on LCM of 727 and 732

1. What is the LCM of 727 and 732?

Answer: LCM of 727 and 732 is 532164.

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 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.

4. How to Find the LCM of 727 and 732?

Answer:

Least Common Multiple of 727 and 732 = 532164

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 732

732 = 2 x 2 x 3 x 61

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

LCM = 532164 = 2 x 2 x 3 x 61 x 727

Step 4: Therefore, the least common multiple of 727 and 732 is 532164.