Least Common Multiple of 624 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 624 and 626 the smallest integer that is 195312 that is divisible by both numbers.

Least Common Multiple (LCM) of 624 and 626 is 195312.

LCM(624,626) = 195312

LCM of 624 and 626

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

LCM of:
and

Least Common Multiple of 624 and 626

LCM of 624 and 626 is 195312

Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 626. First we will calculate the prime factors of 624 and 626.

Prime Factorization of 624


2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 624 are 2, 3,13. Prime factorization of 624 in exponential form is:

624 = 24×31×131

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 624 and 626.

LCM(624,626) = 24×31×131×3131
LCM(624,626) = 195312

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Factors of 626

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

1, 2, 313, 626

Least Common Multiple of 624 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 624 and 626, than apply into the LCM equation.

GCF(624,626) = 2
LCM(624,626) = ( 624 × 626) / 2
LCM(624,626) = 390624 / 2
LCM(624,626) = 195312

Properties of LCM 624 and 626

(i) The LCM of 626 and 624 is associative

LCM of 624 and 626 = LCM of 626 and 624

Related Least Common Multiples of 624

Related Least Common Multiples of 626

Frequently Asked Questions on LCM of 624 and 626

1. What is the LCM of 624 and 626?

Answer: LCM of 624 and 626 is 195312.

2. What are the Factors of 624?

Answer: Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. There are 20 integers that are factors of 624. The greatest factor of 624 is 624.

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 624 and 626?

Answer:

Least Common Multiple of 624 and 626 = 195312

Step 1: Find the prime factorization of 624

624 = 2 x 2 x 2 x 2 x 3 x 13

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 = 195312 = 2 x 2 x 2 x 2 x 3 x 13 x 313

Step 4: Therefore, the least common multiple of 624 and 626 is 195312.