Least Common Multiple of 626 and 634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 626 and 634 the smallest integer that is 198442 that is divisible by both numbers.

Least Common Multiple (LCM) of 626 and 634 is 198442.

LCM(626,634) = 198442

LCM of 626 and 634

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

LCM of:
and

Least Common Multiple of 626 and 634

LCM of 626 and 634 is 198442

Least common multiple can be found by multiplying the highest exponent prime factors of 626 and 634. First we will calculate the prime factors of 626 and 634.

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

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 626 and 634.

LCM(626,634) = 21×3131×3171
LCM(626,634) = 198442

Factors of 626

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

1, 2, 313, 626

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Least Common Multiple of 626 and 634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 626 and 634, than apply into the LCM equation.

GCF(626,634) = 2
LCM(626,634) = ( 626 × 634) / 2
LCM(626,634) = 396884 / 2
LCM(626,634) = 198442

Properties of LCM 626 and 634

(i) The LCM of 634 and 626 is associative

LCM of 626 and 634 = LCM of 634 and 626

Related Least Common Multiples of 626

Related Least Common Multiples of 634

Frequently Asked Questions on LCM of 626 and 634

1. What is the LCM of 626 and 634?

Answer: LCM of 626 and 634 is 198442.

2. 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.

3. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

4. How to Find the LCM of 626 and 634?

Answer:

Least Common Multiple of 626 and 634 = 198442

Step 1: Find the prime factorization of 626

626 = 2 x 313

Step 2: Find the prime factorization of 634

634 = 2 x 317

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

LCM = 198442 = 2 x 313 x 317

Step 4: Therefore, the least common multiple of 626 and 634 is 198442.