Least Common Multiple of 26621 and 26627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 26621 and 26627 the smallest integer that is 708837367 that is divisible by both numbers.

Least Common Multiple (LCM) of 26621 and 26627 is 708837367.

LCM(26621,26627) = 708837367

LCM of 26621 and 26627

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

LCM of:
and

Least Common Multiple of 26621 and 26627

LCM of 26621 and 26627 is 708837367

Least common multiple can be found by multiplying the highest exponent prime factors of 26621 and 26627. First we will calculate the prime factors of 26621 and 26627.

Prime Factorization of 26621


7 26621
3803 3803
1

Prime factors of 26621 are 7,3803. Prime factorization of 26621 in exponential form is:

26621 = 71×38031

Prime Factorization of 26627


26627 26627
1

Prime factors of 26627 are 26627. Prime factorization of 26627 in exponential form is:

26627 = 266271

Now multiplying the highest exponent prime factors to calculate the LCM of 26621 and 26627.

LCM(26621,26627) = 71×38031×266271
LCM(26621,26627) = 708837367

Factors of 26621

List of positive integer factors of 26621 that divides 26621 without a remainder.

1, 7, 3803, 26621

Factors of 26627

List of positive integer factors of 26627 that divides 26627 without a remainder.

1, 26627

Least Common Multiple of 26621 and 26627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26621 and 26627, than apply into the LCM equation.

GCF(26621,26627) = 1
LCM(26621,26627) = ( 26621 × 26627) / 1
LCM(26621,26627) = 708837367 / 1
LCM(26621,26627) = 708837367

Properties of LCM 26621 and 26627

(i) The LCM of 26627 and 26621 is associative

LCM of 26621 and 26627 = LCM of 26627 and 26621

Related Least Common Multiples of 26621

Related Least Common Multiples of 26627

Frequently Asked Questions on LCM of 26621 and 26627

1. What is the LCM of 26621 and 26627?

Answer: LCM of 26621 and 26627 is 708837367.

2. What are the Factors of 26621?

Answer: Factors of 26621 are 1, 7, 3803, 26621. There are 4 integers that are factors of 26621. The greatest factor of 26621 is 26621.

3. What are the Factors of 26627?

Answer: Factors of 26627 are 1, 26627. There are 2 integers that are factors of 26627. The greatest factor of 26627 is 26627.

4. How to Find the LCM of 26621 and 26627?

Answer:

Least Common Multiple of 26621 and 26627 = 708837367

Step 1: Find the prime factorization of 26621

26621 = 7 x 3803

Step 2: Find the prime factorization of 26627

26627 = 26627

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

LCM = 708837367 = 7 x 3803 x 26627

Step 4: Therefore, the least common multiple of 26621 and 26627 is 708837367.