Least Common Multiple of 307435 and 307437

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

• Least Common Multiple of 307435 and 307437 by Prime method
• Least Common Multiple of 307435 and 307437 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307435 and 307437. First we will calculate the prime factors of 307435 and 307437.

Prime Factorization of 307435

Prime factors of 307435 are 5,61487. Prime factorization of 307435 in exponential form is:

307435 = 5¹×61487¹

Prime Factorization of 307437

Prime factors of 307437 are 3, 13,7883. Prime factorization of 307437 in exponential form is:

307437 = 3¹×13¹×7883¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307435 and 307437.

LCM(307435,307437) = 3¹×5¹×13¹×7883¹×61487¹
LCM(307435,307437) = 94516894095

Factors of 307435

List of positive integer factors of 307435 that divides 307435 without a remainder.

1, 5, 61487, 307435

Factors of 307437

List of positive integer factors of 307437 that divides 307437 without a remainder.

1, 3, 13, 39, 7883, 23649, 102479, 307437

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307435 and 307437, than apply into the LCM equation.

GCF(307435,307437) = 1
LCM(307435,307437) = ( 307435 × 307437) / 1
LCM(307435,307437) = 94516894095 / 1
LCM(307435,307437) = 94516894095

(i) The LCM of 307437 and 307435 is associative

LCM of 307435 and 307437 = LCM of 307437 and 307435

1. What is the LCM of 307435 and 307437?

Answer: LCM of 307435 and 307437 is 94516894095.

2. What are the Factors of 307435?

Answer: Factors of 307435 are 1, 5, 61487, 307435. There are 4 integers that are factors of 307435. The greatest factor of 307435 is 307435.

3. What are the Factors of 307437?

Answer: Factors of 307437 are 1, 3, 13, 39, 7883, 23649, 102479, 307437. There are 8 integers that are factors of 307437. The greatest factor of 307437 is 307437.

4. How to Find the LCM of 307435 and 307437?

Answer:

Least Common Multiple of 307435 and 307437 = 94516894095

Step 1: Find the prime factorization of 307435

307435 = 5 x 61487

Step 2: Find the prime factorization of 307437

307437 = 3 x 13 x 7883

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

LCM = 94516894095 = 3 x 5 x 13 x 7883 x 61487

Step 4: Therefore, the least common multiple of 307435 and 307437 is 94516894095.