Least Common Multiple of 10070 and 10077

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

• Least Common Multiple of 10070 and 10077 by Prime method
• Least Common Multiple of 10070 and 10077 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10070 and 10077. First we will calculate the prime factors of 10070 and 10077.

Prime Factorization of 10070

Prime factors of 10070 are 2, 5, 19,53. Prime factorization of 10070 in exponential form is:

10070 = 2¹×5¹×19¹×53¹

Prime Factorization of 10077

Prime factors of 10077 are 3,3359. Prime factorization of 10077 in exponential form is:

10077 = 3¹×3359¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10070 and 10077.

LCM(10070,10077) = 2¹×3¹×5¹×19¹×53¹×3359¹
LCM(10070,10077) = 101475390

Factors of 10070

List of positive integer factors of 10070 that divides 10070 without a remainder.

1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070

Factors of 10077

List of positive integer factors of 10077 that divides 10077 without a remainder.

1, 3, 3359, 10077

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10070 and 10077, than apply into the LCM equation.

GCF(10070,10077) = 1
LCM(10070,10077) = ( 10070 × 10077) / 1
LCM(10070,10077) = 101475390 / 1
LCM(10070,10077) = 101475390

(i) The LCM of 10077 and 10070 is associative

LCM of 10070 and 10077 = LCM of 10077 and 10070

1. What is the LCM of 10070 and 10077?

Answer: LCM of 10070 and 10077 is 101475390.

2. What are the Factors of 10070?

Answer: Factors of 10070 are 1, 2, 5, 10, 19, 38, 53, 95, 106, 190, 265, 530, 1007, 2014, 5035, 10070. There are 16 integers that are factors of 10070. The greatest factor of 10070 is 10070.

3. What are the Factors of 10077?

Answer: Factors of 10077 are 1, 3, 3359, 10077. There are 4 integers that are factors of 10077. The greatest factor of 10077 is 10077.

4. How to Find the LCM of 10070 and 10077?

Answer:

Least Common Multiple of 10070 and 10077 = 101475390

Step 1: Find the prime factorization of 10070

10070 = 2 x 5 x 19 x 53

Step 2: Find the prime factorization of 10077

10077 = 3 x 3359

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

LCM = 101475390 = 2 x 3 x 5 x 19 x 53 x 3359

Step 4: Therefore, the least common multiple of 10070 and 10077 is 101475390.