Least Common Multiple of 85262 and 85268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 85262 and 85268 the smallest integer that is 3635060108 that is divisible by both numbers.

Least Common Multiple (LCM) of 85262 and 85268 is 3635060108.

LCM(85262,85268) = 3635060108

LCM of 85262 and 85268

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

LCM of:
and

Least Common Multiple of 85262 and 85268

LCM of 85262 and 85268 is 3635060108

Least common multiple can be found by multiplying the highest exponent prime factors of 85262 and 85268. First we will calculate the prime factors of 85262 and 85268.

Prime Factorization of 85262


2 85262
89 42631
479 479
1

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

85262 = 21×891×4791

Prime Factorization of 85268


2 85268
2 42634
21317 21317
1

Prime factors of 85268 are 2,21317. Prime factorization of 85268 in exponential form is:

85268 = 22×213171

Now multiplying the highest exponent prime factors to calculate the LCM of 85262 and 85268.

LCM(85262,85268) = 22×891×4791×213171
LCM(85262,85268) = 3635060108

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 85268

List of positive integer factors of 85268 that divides 85268 without a remainder.

1, 2, 4, 21317, 42634, 85268

Least Common Multiple of 85262 and 85268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85262 and 85268, than apply into the LCM equation.

GCF(85262,85268) = 2
LCM(85262,85268) = ( 85262 × 85268) / 2
LCM(85262,85268) = 7270120216 / 2
LCM(85262,85268) = 3635060108

Properties of LCM 85262 and 85268

(i) The LCM of 85268 and 85262 is associative

LCM of 85262 and 85268 = LCM of 85268 and 85262

Related Least Common Multiples of 85262

Related Least Common Multiples of 85268

Frequently Asked Questions on LCM of 85262 and 85268

1. What is the LCM of 85262 and 85268?

Answer: LCM of 85262 and 85268 is 3635060108.

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 85268?

Answer: Factors of 85268 are 1, 2, 4, 21317, 42634, 85268. There are 6 integers that are factors of 85268. The greatest factor of 85268 is 85268.

4. How to Find the LCM of 85262 and 85268?

Answer:

Least Common Multiple of 85262 and 85268 = 3635060108

Step 1: Find the prime factorization of 85262

85262 = 2 x 89 x 479

Step 2: Find the prime factorization of 85268

85268 = 2 x 2 x 21317

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

LCM = 3635060108 = 2 x 2 x 89 x 479 x 21317

Step 4: Therefore, the least common multiple of 85262 and 85268 is 3635060108.