Least Common Multiple of 306437 and 306444

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

• Least Common Multiple of 306437 and 306444 by Prime method
• Least Common Multiple of 306437 and 306444 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 306437 and 306444. First we will calculate the prime factors of 306437 and 306444.

Prime Factorization of 306437

Prime factors of 306437 are 306437. Prime factorization of 306437 in exponential form is:

306437 = 306437¹

Prime Factorization of 306444

Prime factors of 306444 are 2, 3,25537. Prime factorization of 306444 in exponential form is:

306444 = 2²×3¹×25537¹

Now multiplying the highest exponent prime factors to calculate the LCM of 306437 and 306444.

LCM(306437,306444) = 2²×3¹×25537¹×306437¹
LCM(306437,306444) = 93905780028

Factors of 306437

List of positive integer factors of 306437 that divides 306437 without a remainder.

1, 306437

Factors of 306444

List of positive integer factors of 306444 that divides 306444 without a remainder.

1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306437 and 306444, than apply into the LCM equation.

GCF(306437,306444) = 1
LCM(306437,306444) = ( 306437 × 306444) / 1
LCM(306437,306444) = 93905780028 / 1
LCM(306437,306444) = 93905780028

(i) The LCM of 306444 and 306437 is associative

LCM of 306437 and 306444 = LCM of 306444 and 306437

1. What is the LCM of 306437 and 306444?

Answer: LCM of 306437 and 306444 is 93905780028.

2. What are the Factors of 306437?

Answer: Factors of 306437 are 1, 306437. There are 2 integers that are factors of 306437. The greatest factor of 306437 is 306437.

3. What are the Factors of 306444?

Answer: Factors of 306444 are 1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444. There are 12 integers that are factors of 306444. The greatest factor of 306444 is 306444.

4. How to Find the LCM of 306437 and 306444?

Answer:

Least Common Multiple of 306437 and 306444 = 93905780028

Step 1: Find the prime factorization of 306437

306437 = 306437

Step 2: Find the prime factorization of 306444

306444 = 2 x 2 x 3 x 25537

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

LCM = 93905780028 = 2 x 2 x 3 x 25537 x 306437

Step 4: Therefore, the least common multiple of 306437 and 306444 is 93905780028.