Least Common Multiple of 307455 and 307460

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

• Least Common Multiple of 307455 and 307460 by Prime method
• Least Common Multiple of 307455 and 307460 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307455 and 307460. First we will calculate the prime factors of 307455 and 307460.

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 307460

Prime factors of 307460 are 2, 5,15373. Prime factorization of 307460 in exponential form is:

307460 = 2²×5¹×15373¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307455 and 307460.

LCM(307455,307460) = 2²×3¹×5¹×103¹×199¹×15373¹
LCM(307455,307460) = 18906022860

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 307460

List of positive integer factors of 307460 that divides 307460 without a remainder.

1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307455 and 307460, than apply into the LCM equation.

GCF(307455,307460) = 5
LCM(307455,307460) = ( 307455 × 307460) / 5
LCM(307455,307460) = 94530114300 / 5
LCM(307455,307460) = 18906022860

(i) The LCM of 307460 and 307455 is associative

LCM of 307455 and 307460 = LCM of 307460 and 307455

1. What is the LCM of 307455 and 307460?

Answer: LCM of 307455 and 307460 is 18906022860.

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 307460?

Answer: Factors of 307460 are 1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460. There are 12 integers that are factors of 307460. The greatest factor of 307460 is 307460.

4. How to Find the LCM of 307455 and 307460?

Answer:

Least Common Multiple of 307455 and 307460 = 18906022860

Step 1: Find the prime factorization of 307455

307455 = 3 x 5 x 103 x 199

Step 2: Find the prime factorization of 307460

307460 = 2 x 2 x 5 x 15373

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

LCM = 18906022860 = 2 x 2 x 3 x 5 x 103 x 199 x 15373

Step 4: Therefore, the least common multiple of 307455 and 307460 is 18906022860.