Least Common Multiple of 25277 and 25282

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

• Least Common Multiple of 25277 and 25282 by Prime method
• Least Common Multiple of 25277 and 25282 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 25277 and 25282. First we will calculate the prime factors of 25277 and 25282.

Prime Factorization of 25277

Prime factors of 25277 are 7, 23,157. Prime factorization of 25277 in exponential form is:

25277 = 7¹×23¹×157¹

Prime Factorization of 25282

Prime factors of 25282 are 2,12641. Prime factorization of 25282 in exponential form is:

25282 = 2¹×12641¹

Now multiplying the highest exponent prime factors to calculate the LCM of 25277 and 25282.

LCM(25277,25282) = 2¹×7¹×23¹×157¹×12641¹
LCM(25277,25282) = 639053114

Factors of 25277

List of positive integer factors of 25277 that divides 25277 without a remainder.

1, 7, 23, 157, 161, 1099, 3611, 25277

Factors of 25282

List of positive integer factors of 25282 that divides 25282 without a remainder.

1, 2, 12641, 25282

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25277 and 25282, than apply into the LCM equation.

GCF(25277,25282) = 1
LCM(25277,25282) = ( 25277 × 25282) / 1
LCM(25277,25282) = 639053114 / 1
LCM(25277,25282) = 639053114

(i) The LCM of 25282 and 25277 is associative

LCM of 25277 and 25282 = LCM of 25282 and 25277

1. What is the LCM of 25277 and 25282?

Answer: LCM of 25277 and 25282 is 639053114.

2. What are the Factors of 25277?

Answer: Factors of 25277 are 1, 7, 23, 157, 161, 1099, 3611, 25277. There are 8 integers that are factors of 25277. The greatest factor of 25277 is 25277.

3. What are the Factors of 25282?

Answer: Factors of 25282 are 1, 2, 12641, 25282. There are 4 integers that are factors of 25282. The greatest factor of 25282 is 25282.

4. How to Find the LCM of 25277 and 25282?

Answer:

Least Common Multiple of 25277 and 25282 = 639053114

Step 1: Find the prime factorization of 25277

25277 = 7 x 23 x 157

Step 2: Find the prime factorization of 25282

25282 = 2 x 12641

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

LCM = 639053114 = 2 x 7 x 23 x 157 x 12641

Step 4: Therefore, the least common multiple of 25277 and 25282 is 639053114.