Least Common Multiple of 67037 and 67045

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

• Least Common Multiple of 67037 and 67045 by Prime method
• Least Common Multiple of 67037 and 67045 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 67037 and 67045. First we will calculate the prime factors of 67037 and 67045.

Prime Factorization of 67037

Prime factors of 67037 are 43,1559. Prime factorization of 67037 in exponential form is:

67037 = 43¹×1559¹

Prime Factorization of 67045

Prime factors of 67045 are 5, 11, 23,53. Prime factorization of 67045 in exponential form is:

67045 = 5¹×11¹×23¹×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 67037 and 67045.

LCM(67037,67045) = 5¹×11¹×23¹×43¹×53¹×1559¹
LCM(67037,67045) = 4494495665

Factors of 67037

List of positive integer factors of 67037 that divides 67037 without a remainder.

1, 43, 1559, 67037

Factors of 67045

List of positive integer factors of 67045 that divides 67045 without a remainder.

1, 5, 11, 23, 53, 55, 115, 253, 265, 583, 1219, 1265, 2915, 6095, 13409, 67045

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67037 and 67045, than apply into the LCM equation.

GCF(67037,67045) = 1
LCM(67037,67045) = ( 67037 × 67045) / 1
LCM(67037,67045) = 4494495665 / 1
LCM(67037,67045) = 4494495665

(i) The LCM of 67045 and 67037 is associative

LCM of 67037 and 67045 = LCM of 67045 and 67037

1. What is the LCM of 67037 and 67045?

Answer: LCM of 67037 and 67045 is 4494495665.

2. What are the Factors of 67037?

Answer: Factors of 67037 are 1, 43, 1559, 67037. There are 4 integers that are factors of 67037. The greatest factor of 67037 is 67037.

3. What are the Factors of 67045?

Answer: Factors of 67045 are 1, 5, 11, 23, 53, 55, 115, 253, 265, 583, 1219, 1265, 2915, 6095, 13409, 67045. There are 16 integers that are factors of 67045. The greatest factor of 67045 is 67045.

4. How to Find the LCM of 67037 and 67045?

Answer:

Least Common Multiple of 67037 and 67045 = 4494495665

Step 1: Find the prime factorization of 67037

67037 = 43 x 1559

Step 2: Find the prime factorization of 67045

67045 = 5 x 11 x 23 x 53

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

LCM = 4494495665 = 5 x 11 x 23 x 43 x 53 x 1559

Step 4: Therefore, the least common multiple of 67037 and 67045 is 4494495665.