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Least Common Multiple of 725 and 730

Free LCM Calculator determines the least common multiple (LCM) between 725 and 730 the smallest integer that is 105850 that is divisible by both numbers.

Least Common Multiple (LCM) of 725 and 730 is 105850.

LCM(725,730) = 105850

LCM of 725 and 730

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

LCM of:
and

Least Common Multiple (LCM) of 725 and 730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 725 and 730. First we will calculate the prime factors of 725 and 730.

Prime Factorization of 725


5 725
5 145
29 29
1

Prime factors of 725 are 5,29. Prime factorization of 725 in exponential form is:

725 = 52×291

Prime Factorization of 730


2 730
5 365
73 73
1

Prime factors of 730 are 2, 5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 725 and 730.

LCM(725,730) = 21×52×291×731
LCM(725,730) = 105850

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Least Common Multiple of 725 and 730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 725 and 730, than apply into the LCM equation.

GCF(725,730) = 5
LCM(725,730) = ( 725 × 730) / 5
LCM(725,730) = 529250 / 5
LCM(725,730) = 105850

Properties of LCM 725 and 730

(i) The LCM of 730 and 725 is associative

LCM of 725 and 730 = LCM of 730 and 725

Frequently Asked Questions on LCM of 725 and 730

1. What is the LCM of 725 and 730?

Answer: LCM of 725 and 730 is 105850.

2. What are the Factors of 725?

Answer: Factors of 725 are 1, 5, 25, 29, 145, 725. There are 6 integers that are factors of 725. The greatest factor of 725 is 725.

3. What are the Factors of 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

4. How to Find the LCM of 725 and 730?

Answer:

Least Common Multiple of 725 and 730 = 105850

Step 1: Find the prime factorization of 725

725 = 5 x 5 x 29

Step 2: Find the prime factorization of 730

730 = 2 x 5 x 73

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

LCM = 105850 = 2 x 5 x 5 x 29 x 73

Step 4: Therefore, the least common multiple of 725 and 730 is 105850.