Least Common Multiple of 307434 and 307439

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

• Least Common Multiple of 307434 and 307439 by Prime method
• Least Common Multiple of 307434 and 307439 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307434 and 307439. First we will calculate the prime factors of 307434 and 307439.

Prime Factorization of 307434

Prime factors of 307434 are 2, 3,51239. Prime factorization of 307434 in exponential form is:

307434 = 2¹×3¹×51239¹

Prime Factorization of 307439

Prime factors of 307439 are 11, 19,1471. Prime factorization of 307439 in exponential form is:

307439 = 11¹×19¹×1471¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307434 and 307439.

LCM(307434,307439) = 2¹×3¹×11¹×19¹×1471¹×51239¹
LCM(307434,307439) = 94517201526

Factors of 307434

List of positive integer factors of 307434 that divides 307434 without a remainder.

1, 2, 3, 6, 51239, 102478, 153717, 307434

Factors of 307439

List of positive integer factors of 307439 that divides 307439 without a remainder.

1, 11, 19, 209, 1471, 16181, 27949, 307439

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307434 and 307439, than apply into the LCM equation.

GCF(307434,307439) = 1
LCM(307434,307439) = ( 307434 × 307439) / 1
LCM(307434,307439) = 94517201526 / 1
LCM(307434,307439) = 94517201526

(i) The LCM of 307439 and 307434 is associative

LCM of 307434 and 307439 = LCM of 307439 and 307434

1. What is the LCM of 307434 and 307439?

Answer: LCM of 307434 and 307439 is 94517201526.

2. What are the Factors of 307434?

Answer: Factors of 307434 are 1, 2, 3, 6, 51239, 102478, 153717, 307434. There are 8 integers that are factors of 307434. The greatest factor of 307434 is 307434.

3. What are the Factors of 307439?

Answer: Factors of 307439 are 1, 11, 19, 209, 1471, 16181, 27949, 307439. There are 8 integers that are factors of 307439. The greatest factor of 307439 is 307439.

4. How to Find the LCM of 307434 and 307439?

Answer:

Least Common Multiple of 307434 and 307439 = 94517201526

Step 1: Find the prime factorization of 307434

307434 = 2 x 3 x 51239

Step 2: Find the prime factorization of 307439

307439 = 11 x 19 x 1471

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

LCM = 94517201526 = 2 x 3 x 11 x 19 x 1471 x 51239

Step 4: Therefore, the least common multiple of 307434 and 307439 is 94517201526.