Least Common Multiple of 85262 and 85269

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

• Least Common Multiple of 85262 and 85269 by Prime method
• Least Common Multiple of 85262 and 85269 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 85262 and 85269. First we will calculate the prime factors of 85262 and 85269.

Prime Factorization of 85262

Prime factors of 85262 are 2, 89,479. Prime factorization of 85262 in exponential form is:

85262 = 2¹×89¹×479¹

Prime Factorization of 85269

Prime factors of 85269 are 3, 43,661. Prime factorization of 85269 in exponential form is:

85269 = 3¹×43¹×661¹

Now multiplying the highest exponent prime factors to calculate the LCM of 85262 and 85269.

LCM(85262,85269) = 2¹×3¹×43¹×89¹×479¹×661¹
LCM(85262,85269) = 7270205478

Factors of 85262

List of positive integer factors of 85262 that divides 85262 without a remainder.

1, 2, 89, 178, 479, 958, 42631, 85262

Factors of 85269

List of positive integer factors of 85269 that divides 85269 without a remainder.

1, 3, 43, 129, 661, 1983, 28423, 85269

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85262 and 85269, than apply into the LCM equation.

GCF(85262,85269) = 1
LCM(85262,85269) = ( 85262 × 85269) / 1
LCM(85262,85269) = 7270205478 / 1
LCM(85262,85269) = 7270205478

(i) The LCM of 85269 and 85262 is associative

LCM of 85262 and 85269 = LCM of 85269 and 85262

1. What is the LCM of 85262 and 85269?

Answer: LCM of 85262 and 85269 is 7270205478.

2. What are the Factors of 85262?

Answer: Factors of 85262 are 1, 2, 89, 178, 479, 958, 42631, 85262. There are 8 integers that are factors of 85262. The greatest factor of 85262 is 85262.

3. What are the Factors of 85269?

Answer: Factors of 85269 are 1, 3, 43, 129, 661, 1983, 28423, 85269. There are 8 integers that are factors of 85269. The greatest factor of 85269 is 85269.

4. How to Find the LCM of 85262 and 85269?

Answer:

Least Common Multiple of 85262 and 85269 = 7270205478

Step 1: Find the prime factorization of 85262

85262 = 2 x 89 x 479

Step 2: Find the prime factorization of 85269

85269 = 3 x 43 x 661

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

LCM = 7270205478 = 2 x 3 x 43 x 89 x 479 x 661

Step 4: Therefore, the least common multiple of 85262 and 85269 is 7270205478.