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Least Common Multiple of 735 and 743

Free LCM Calculator determines the least common multiple (LCM) between 735 and 743 the smallest integer that is 546105 that is divisible by both numbers.

Least Common Multiple (LCM) of 735 and 743 is 546105.

LCM(735,743) = 546105

LCM of 735 and 743

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

LCM of:
and

Least Common Multiple (LCM) of 735 and 743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 743. First we will calculate the prime factors of 735 and 743.

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

Prime Factorization of 743


743 743
1

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 735 and 743.

LCM(735,743) = 31×51×72×7431
LCM(735,743) = 546105

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

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1, 743

Least Common Multiple of 735 and 743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 735 and 743, than apply into the LCM equation.

GCF(735,743) = 1
LCM(735,743) = ( 735 × 743) / 1
LCM(735,743) = 546105 / 1
LCM(735,743) = 546105

Properties of LCM 735 and 743

(i) The LCM of 743 and 735 is associative

LCM of 735 and 743 = LCM of 743 and 735

Frequently Asked Questions on LCM of 735 and 743

1. What is the LCM of 735 and 743?

Answer: LCM of 735 and 743 is 546105.

2. 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.

3. What are the Factors of 743?

Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.

4. How to Find the LCM of 735 and 743?

Answer:

Least Common Multiple of 735 and 743 = 546105

Step 1: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 743

743 = 743

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

LCM = 546105 = 3 x 5 x 7 x 7 x 743

Step 4: Therefore, the least common multiple of 735 and 743 is 546105.