Least Common Multiple of 306428 and 306435

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

• Least Common Multiple of 306428 and 306435 by Prime method
• Least Common Multiple of 306428 and 306435 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306428 and 306435. First we will calculate the prime factors of 306428 and 306435.

Prime Factorization of 306428

Prime factors of 306428 are 2,76607. Prime factorization of 306428 in exponential form is:

306428 = 2²×76607¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 306428 and 306435.

LCM(306428,306435) = 2²×3¹×5¹×31¹×659¹×76607¹
LCM(306428,306435) = 93900264180

Factors of 306428

List of positive integer factors of 306428 that divides 306428 without a remainder.

1, 2, 4, 76607, 153214, 306428

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306428 and 306435, than apply into the LCM equation.

GCF(306428,306435) = 1
LCM(306428,306435) = ( 306428 × 306435) / 1
LCM(306428,306435) = 93900264180 / 1
LCM(306428,306435) = 93900264180

(i) The LCM of 306435 and 306428 is associative

LCM of 306428 and 306435 = LCM of 306435 and 306428

1. What is the LCM of 306428 and 306435?

Answer: LCM of 306428 and 306435 is 93900264180.

2. What are the Factors of 306428?

Answer: Factors of 306428 are 1, 2, 4, 76607, 153214, 306428. There are 6 integers that are factors of 306428. The greatest factor of 306428 is 306428.

3. 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.

4. How to Find the LCM of 306428 and 306435?

Answer:

Least Common Multiple of 306428 and 306435 = 93900264180

Step 1: Find the prime factorization of 306428

306428 = 2 x 2 x 76607

Step 2: Find the prime factorization of 306435

306435 = 3 x 5 x 31 x 659

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

LCM = 93900264180 = 2 x 2 x 3 x 5 x 31 x 659 x 76607

Step 4: Therefore, the least common multiple of 306428 and 306435 is 93900264180.