Least Common Multiple of 626 and 628

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 628 the smallest integer that is 196564 that is divisible by both numbers.

Least Common Multiple (LCM) of 626 and 628 is 196564.

LCM(626,628) = 196564

LCM of 626 and 628

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

LCM of:
and

Least Common Multiple of 626 and 628

LCM of 626 and 628 is 196564

Least common multiple can be found by multiplying the highest exponent prime factors of 626 and 628. First we will calculate the prime factors of 626 and 628.

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 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 626 and 628.

LCM(626,628) = 22×1571×3131
LCM(626,628) = 196564

Factors of 626

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

1, 2, 313, 626

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Least Common Multiple of 626 and 628 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 628, than apply into the LCM equation.

GCF(626,628) = 2
LCM(626,628) = ( 626 × 628) / 2
LCM(626,628) = 393128 / 2
LCM(626,628) = 196564

Properties of LCM 626 and 628

(i) The LCM of 628 and 626 is associative

LCM of 626 and 628 = LCM of 628 and 626

Related Least Common Multiples of 626

Related Least Common Multiples of 628

Frequently Asked Questions on LCM of 626 and 628

1. What is the LCM of 626 and 628?

Answer: LCM of 626 and 628 is 196564.

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 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

4. How to Find the LCM of 626 and 628?

Answer:

Least Common Multiple of 626 and 628 = 196564

Step 1: Find the prime factorization of 626

626 = 2 x 313

Step 2: Find the prime factorization of 628

628 = 2 x 2 x 157

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

LCM = 196564 = 2 x 2 x 157 x 313

Step 4: Therefore, the least common multiple of 626 and 628 is 196564.