Least Common Multiple of 306435 and 306439

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

• Least Common Multiple of 306435 and 306439 by Prime method
• Least Common Multiple of 306435 and 306439 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306435 and 306439. First we will calculate the prime factors of 306435 and 306439.

Prime Factorization of 306435

Prime factors of 306435 are 3, 5, 31,659. Prime factorization of 306435 in exponential form is:

306435 = 3¹×5¹×31¹×659¹

Prime Factorization of 306439

Prime factors of 306439 are 7,43777. Prime factorization of 306439 in exponential form is:

306439 = 7¹×43777¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306435 and 306439.

LCM(306435,306439) = 3¹×5¹×7¹×31¹×659¹×43777¹
LCM(306435,306439) = 93903634965

Factors of 306435

List of positive integer factors of 306435 that divides 306435 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435

Factors of 306439

List of positive integer factors of 306439 that divides 306439 without a remainder.

1, 7, 43777, 306439

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306435 and 306439, than apply into the LCM equation.

GCF(306435,306439) = 1
LCM(306435,306439) = ( 306435 × 306439) / 1
LCM(306435,306439) = 93903634965 / 1
LCM(306435,306439) = 93903634965

(i) The LCM of 306439 and 306435 is associative

LCM of 306435 and 306439 = LCM of 306439 and 306435

1. What is the LCM of 306435 and 306439?

Answer: LCM of 306435 and 306439 is 93903634965.

2. What are the Factors of 306435?

Answer: Factors of 306435 are 1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435. There are 16 integers that are factors of 306435. The greatest factor of 306435 is 306435.

3. What are the Factors of 306439?

Answer: Factors of 306439 are 1, 7, 43777, 306439. There are 4 integers that are factors of 306439. The greatest factor of 306439 is 306439.

4. How to Find the LCM of 306435 and 306439?

Answer:

Least Common Multiple of 306435 and 306439 = 93903634965

Step 1: Find the prime factorization of 306435

306435 = 3 x 5 x 31 x 659

Step 2: Find the prime factorization of 306439

306439 = 7 x 43777

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

LCM = 93903634965 = 3 x 5 x 7 x 31 x 659 x 43777

Step 4: Therefore, the least common multiple of 306435 and 306439 is 93903634965.