Least Common Multiple of 85256 and 85262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 85256 and 85262 the smallest integer that is 3634548536 that is divisible by both numbers.

Least Common Multiple (LCM) of 85256 and 85262 is 3634548536.

LCM(85256,85262) = 3634548536

LCM of 85256 and 85262

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

LCM of:
and

Least Common Multiple of 85256 and 85262

LCM of 85256 and 85262 is 3634548536

Least common multiple can be found by multiplying the highest exponent prime factors of 85256 and 85262. First we will calculate the prime factors of 85256 and 85262.

Prime Factorization of 85256


2 85256
2 42628
2 21314
10657 10657
1

Prime factors of 85256 are 2,10657. Prime factorization of 85256 in exponential form is:

85256 = 23×106571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 85256 and 85262.

LCM(85256,85262) = 23×891×4791×106571
LCM(85256,85262) = 3634548536

Factors of 85256

List of positive integer factors of 85256 that divides 85256 without a remainder.

1, 2, 4, 8, 10657, 21314, 42628, 85256

Factors of 85262

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

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

Least Common Multiple of 85256 and 85262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85256 and 85262, than apply into the LCM equation.

GCF(85256,85262) = 2
LCM(85256,85262) = ( 85256 × 85262) / 2
LCM(85256,85262) = 7269097072 / 2
LCM(85256,85262) = 3634548536

Properties of LCM 85256 and 85262

(i) The LCM of 85262 and 85256 is associative

LCM of 85256 and 85262 = LCM of 85262 and 85256

Related Least Common Multiples of 85256

Related Least Common Multiples of 85262

Frequently Asked Questions on LCM of 85256 and 85262

1. What is the LCM of 85256 and 85262?

Answer: LCM of 85256 and 85262 is 3634548536.

2. What are the Factors of 85256?

Answer: Factors of 85256 are 1, 2, 4, 8, 10657, 21314, 42628, 85256. There are 8 integers that are factors of 85256. The greatest factor of 85256 is 85256.

3. 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.

4. How to Find the LCM of 85256 and 85262?

Answer:

Least Common Multiple of 85256 and 85262 = 3634548536

Step 1: Find the prime factorization of 85256

85256 = 2 x 2 x 2 x 10657

Step 2: Find the prime factorization of 85262

85262 = 2 x 89 x 479

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

LCM = 3634548536 = 2 x 2 x 2 x 89 x 479 x 10657

Step 4: Therefore, the least common multiple of 85256 and 85262 is 3634548536.