Least Common Multiple of 7410 and 7417

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

• Least Common Multiple of 7410 and 7417 by Prime method
• Least Common Multiple of 7410 and 7417 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 7410 and 7417. First we will calculate the prime factors of 7410 and 7417.

Prime Factorization of 7410

Prime factors of 7410 are 2, 3, 5, 13,19. Prime factorization of 7410 in exponential form is:

7410 = 2¹×3¹×5¹×13¹×19¹

Prime Factorization of 7417

Prime factors of 7417 are 7417. Prime factorization of 7417 in exponential form is:

7417 = 7417¹

Now multiplying the highest exponent prime factors to calculate the LCM of 7410 and 7417.

LCM(7410,7417) = 2¹×3¹×5¹×13¹×19¹×7417¹
LCM(7410,7417) = 54959970

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410

Factors of 7417

List of positive integer factors of 7417 that divides 7417 without a remainder.

1, 7417

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7410 and 7417, than apply into the LCM equation.

GCF(7410,7417) = 1
LCM(7410,7417) = ( 7410 × 7417) / 1
LCM(7410,7417) = 54959970 / 1
LCM(7410,7417) = 54959970

(i) The LCM of 7417 and 7410 is associative

LCM of 7410 and 7417 = LCM of 7417 and 7410

1. What is the LCM of 7410 and 7417?

Answer: LCM of 7410 and 7417 is 54959970.

2. What are the Factors of 7410?

Answer: Factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410. There are 32 integers that are factors of 7410. The greatest factor of 7410 is 7410.

3. What are the Factors of 7417?

Answer: Factors of 7417 are 1, 7417. There are 2 integers that are factors of 7417. The greatest factor of 7417 is 7417.

4. How to Find the LCM of 7410 and 7417?

Answer:

Least Common Multiple of 7410 and 7417 = 54959970

Step 1: Find the prime factorization of 7410

7410 = 2 x 3 x 5 x 13 x 19

Step 2: Find the prime factorization of 7417

7417 = 7417

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

LCM = 54959970 = 2 x 3 x 5 x 13 x 19 x 7417

Step 4: Therefore, the least common multiple of 7410 and 7417 is 54959970.