Least Common Multiple of 307415 and 307420

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

• Least Common Multiple of 307415 and 307420 by Prime method
• Least Common Multiple of 307415 and 307420 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307415 and 307420. First we will calculate the prime factors of 307415 and 307420.

Prime Factorization of 307415

Prime factors of 307415 are 5,61483. Prime factorization of 307415 in exponential form is:

307415 = 5¹×61483¹

Prime Factorization of 307420

Prime factors of 307420 are 2, 5, 19,809. Prime factorization of 307420 in exponential form is:

307420 = 2²×5¹×19¹×809¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307415 and 307420.

LCM(307415,307420) = 2²×5¹×19¹×809¹×61483¹
LCM(307415,307420) = 18901103860

Factors of 307415

List of positive integer factors of 307415 that divides 307415 without a remainder.

1, 5, 61483, 307415

Factors of 307420

List of positive integer factors of 307420 that divides 307420 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, 809, 1618, 3236, 4045, 8090, 15371, 16180, 30742, 61484, 76855, 153710, 307420

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307415 and 307420, than apply into the LCM equation.

GCF(307415,307420) = 5
LCM(307415,307420) = ( 307415 × 307420) / 5
LCM(307415,307420) = 94505519300 / 5
LCM(307415,307420) = 18901103860

(i) The LCM of 307420 and 307415 is associative

LCM of 307415 and 307420 = LCM of 307420 and 307415

1. What is the LCM of 307415 and 307420?

Answer: LCM of 307415 and 307420 is 18901103860.

2. What are the Factors of 307415?

Answer: Factors of 307415 are 1, 5, 61483, 307415. There are 4 integers that are factors of 307415. The greatest factor of 307415 is 307415.

3. What are the Factors of 307420?

Answer: Factors of 307420 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, 809, 1618, 3236, 4045, 8090, 15371, 16180, 30742, 61484, 76855, 153710, 307420. There are 24 integers that are factors of 307420. The greatest factor of 307420 is 307420.

4. How to Find the LCM of 307415 and 307420?

Answer:

Least Common Multiple of 307415 and 307420 = 18901103860

Step 1: Find the prime factorization of 307415

307415 = 5 x 61483

Step 2: Find the prime factorization of 307420

307420 = 2 x 2 x 5 x 19 x 809

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

LCM = 18901103860 = 2 x 2 x 5 x 19 x 809 x 61483

Step 4: Therefore, the least common multiple of 307415 and 307420 is 18901103860.