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Least Common Multiple of 735 and 739

Free LCM Calculator determines the least common multiple (LCM) between 735 and 739 the smallest integer that is 543165 that is divisible by both numbers.

Least Common Multiple (LCM) of 735 and 739 is 543165.

LCM(735,739) = 543165

LCM of 735 and 739

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

LCM of:
and

Least Common Multiple (LCM) of 735 and 739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 735 and 739. First we will calculate the prime factors of 735 and 739.

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 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 735 and 739.

LCM(735,739) = 31×51×72×7391
LCM(735,739) = 543165

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 739

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

1, 739

Least Common Multiple of 735 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 735 and 739, than apply into the LCM equation.

GCF(735,739) = 1
LCM(735,739) = ( 735 × 739) / 1
LCM(735,739) = 543165 / 1
LCM(735,739) = 543165

Properties of LCM 735 and 739

(i) The LCM of 739 and 735 is associative

LCM of 735 and 739 = LCM of 739 and 735

Frequently Asked Questions on LCM of 735 and 739

1. What is the LCM of 735 and 739?

Answer: LCM of 735 and 739 is 543165.

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 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 735 and 739?

Answer:

Least Common Multiple of 735 and 739 = 543165

Step 1: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

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 = 543165 = 3 x 5 x 7 x 7 x 739

Step 4: Therefore, the least common multiple of 735 and 739 is 543165.