Least Common Multiple of 622 and 626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 622 and 626 the smallest integer that is 194686 that is divisible by both numbers.

Least Common Multiple (LCM) of 622 and 626 is 194686.

LCM(622,626) = 194686

LCM of 622 and 626

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

LCM of:
and

Least Common Multiple of 622 and 626

LCM of 622 and 626 is 194686

Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 626. First we will calculate the prime factors of 622 and 626.

Prime Factorization of 622


2 622
311 311
1

Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:

622 = 21×3111

Prime Factorization of 626


2 626
313 313
1

Prime factors of 626 are 2,313. Prime factorization of 626 in exponential form is:

626 = 21×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 626.

LCM(622,626) = 21×3111×3131
LCM(622,626) = 194686

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Least Common Multiple of 622 and 626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 622 and 626, than apply into the LCM equation.

GCF(622,626) = 2
LCM(622,626) = ( 622 × 626) / 2
LCM(622,626) = 389372 / 2
LCM(622,626) = 194686

Properties of LCM 622 and 626

(i) The LCM of 626 and 622 is associative

LCM of 622 and 626 = LCM of 626 and 622

Frequently Asked Questions on LCM of 622 and 626

1. What is the LCM of 622 and 626?

Answer: LCM of 622 and 626 is 194686.

2. What are the Factors of 622?

Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.

3. What are the Factors of 626?

Answer: Factors of 626 are 1, 2, 313, 626. There are 4 integers that are factors of 626. The greatest factor of 626 is 626.

4. How to Find the LCM of 622 and 626?

Answer:

Least Common Multiple of 622 and 626 = 194686

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 626

626 = 2 x 313

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

LCM = 194686 = 2 x 311 x 313

Step 4: Therefore, the least common multiple of 622 and 626 is 194686.