Least Common Multiple of 727 and 735

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 735 the smallest integer that is 534345 that is divisible by both numbers.

Least Common Multiple (LCM) of 727 and 735 is 534345.

LCM(727,735) = 534345

LCM of 727 and 735

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

LCM of:
and

Least Common Multiple of 727 and 735

LCM of 727 and 735 is 534345

Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 735. First we will calculate the prime factors of 727 and 735.

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 735


3 735
5 245
7 49
7 7
1

Prime factors of 735 are 3, 5,7. Prime factorization of 735 in exponential form is:

735 = 31×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 735.

LCM(727,735) = 31×51×72×7271
LCM(727,735) = 534345

Factors of 727

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

1, 727

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Least Common Multiple of 727 and 735 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 735, than apply into the LCM equation.

GCF(727,735) = 1
LCM(727,735) = ( 727 × 735) / 1
LCM(727,735) = 534345 / 1
LCM(727,735) = 534345

Properties of LCM 727 and 735

(i) The LCM of 735 and 727 is associative

LCM of 727 and 735 = LCM of 735 and 727

Frequently Asked Questions on LCM of 727 and 735

1. What is the LCM of 727 and 735?

Answer: LCM of 727 and 735 is 534345.

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 735?

Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.

4. How to Find the LCM of 727 and 735?

Answer:

Least Common Multiple of 727 and 735 = 534345

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

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

LCM = 534345 = 3 x 5 x 7 x 7 x 727

Step 4: Therefore, the least common multiple of 727 and 735 is 534345.