Least Common Multiple of 307455 and 307462

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

• Least Common Multiple of 307455 and 307462 by Prime method
• Least Common Multiple of 307455 and 307462 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307455 and 307462. First we will calculate the prime factors of 307455 and 307462.

Prime Factorization of 307455

Prime factors of 307455 are 3, 5, 103,199. Prime factorization of 307455 in exponential form is:

307455 = 3¹×5¹×103¹×199¹

Prime Factorization of 307462

Prime factors of 307462 are 2, 17,9043. Prime factorization of 307462 in exponential form is:

307462 = 2¹×17¹×9043¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307455 and 307462.

LCM(307455,307462) = 2¹×3¹×5¹×17¹×103¹×199¹×9043¹
LCM(307455,307462) = 94530729210

Factors of 307455

List of positive integer factors of 307455 that divides 307455 without a remainder.

1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455

Factors of 307462

List of positive integer factors of 307462 that divides 307462 without a remainder.

1, 2, 17, 34, 9043, 18086, 153731, 307462

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307455 and 307462, than apply into the LCM equation.

GCF(307455,307462) = 1
LCM(307455,307462) = ( 307455 × 307462) / 1
LCM(307455,307462) = 94530729210 / 1
LCM(307455,307462) = 94530729210

(i) The LCM of 307462 and 307455 is associative

LCM of 307455 and 307462 = LCM of 307462 and 307455

1. What is the LCM of 307455 and 307462?

Answer: LCM of 307455 and 307462 is 94530729210.

2. What are the Factors of 307455?

Answer: Factors of 307455 are 1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455. There are 16 integers that are factors of 307455. The greatest factor of 307455 is 307455.

3. What are the Factors of 307462?

Answer: Factors of 307462 are 1, 2, 17, 34, 9043, 18086, 153731, 307462. There are 8 integers that are factors of 307462. The greatest factor of 307462 is 307462.

4. How to Find the LCM of 307455 and 307462?

Answer:

Least Common Multiple of 307455 and 307462 = 94530729210

Step 1: Find the prime factorization of 307455

307455 = 3 x 5 x 103 x 199

Step 2: Find the prime factorization of 307462

307462 = 2 x 17 x 9043

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

LCM = 94530729210 = 2 x 3 x 5 x 17 x 103 x 199 x 9043

Step 4: Therefore, the least common multiple of 307455 and 307462 is 94530729210.