Least Common Multiple of 26605 and 26612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26605 and 26612 the smallest integer that is 708012260 that is divisible by both numbers.

Least Common Multiple (LCM) of 26605 and 26612 is 708012260.

LCM(26605,26612) = 708012260

LCM of 26605 and 26612

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

LCM of:
and

Least Common Multiple of 26605 and 26612

LCM of 26605 and 26612 is 708012260

Least common multiple can be found by multiplying the highest exponent prime factors of 26605 and 26612. First we will calculate the prime factors of 26605 and 26612.

Prime Factorization of 26605


5 26605
17 5321
313 313
1

Prime factors of 26605 are 5, 17,313. Prime factorization of 26605 in exponential form is:

26605 = 51×171×3131

Prime Factorization of 26612


2 26612
2 13306
6653 6653
1

Prime factors of 26612 are 2,6653. Prime factorization of 26612 in exponential form is:

26612 = 22×66531

Now multiplying the highest exponent prime factors to calculate the LCM of 26605 and 26612.

LCM(26605,26612) = 22×51×171×3131×66531
LCM(26605,26612) = 708012260

Factors of 26605

List of positive integer factors of 26605 that divides 26605 without a remainder.

1, 5, 17, 85, 313, 1565, 5321, 26605

Factors of 26612

List of positive integer factors of 26612 that divides 26612 without a remainder.

1, 2, 4, 6653, 13306, 26612

Least Common Multiple of 26605 and 26612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26605 and 26612, than apply into the LCM equation.

GCF(26605,26612) = 1
LCM(26605,26612) = ( 26605 × 26612) / 1
LCM(26605,26612) = 708012260 / 1
LCM(26605,26612) = 708012260

Properties of LCM 26605 and 26612

(i) The LCM of 26612 and 26605 is associative

LCM of 26605 and 26612 = LCM of 26612 and 26605

Related Least Common Multiples of 26605

Related Least Common Multiples of 26612

Frequently Asked Questions on LCM of 26605 and 26612

1. What is the LCM of 26605 and 26612?

Answer: LCM of 26605 and 26612 is 708012260.

2. What are the Factors of 26605?

Answer: Factors of 26605 are 1, 5, 17, 85, 313, 1565, 5321, 26605. There are 8 integers that are factors of 26605. The greatest factor of 26605 is 26605.

3. What are the Factors of 26612?

Answer: Factors of 26612 are 1, 2, 4, 6653, 13306, 26612. There are 6 integers that are factors of 26612. The greatest factor of 26612 is 26612.

4. How to Find the LCM of 26605 and 26612?

Answer:

Least Common Multiple of 26605 and 26612 = 708012260

Step 1: Find the prime factorization of 26605

26605 = 5 x 17 x 313

Step 2: Find the prime factorization of 26612

26612 = 2 x 2 x 6653

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

LCM = 708012260 = 2 x 2 x 5 x 17 x 313 x 6653

Step 4: Therefore, the least common multiple of 26605 and 26612 is 708012260.