Least Common Multiple of 622 and 624

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 624 the smallest integer that is 194064 that is divisible by both numbers.

Least Common Multiple (LCM) of 622 and 624 is 194064.

LCM(622,624) = 194064

LCM of 622 and 624

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

LCM of:
and

Least Common Multiple of 622 and 624

LCM of 622 and 624 is 194064

Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 624. First we will calculate the prime factors of 622 and 624.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 624.

LCM(622,624) = 24×31×131×3111
LCM(622,624) = 194064

Factors of 622

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

1, 2, 311, 622

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

Least Common Multiple of 622 and 624 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 624, than apply into the LCM equation.

GCF(622,624) = 2
LCM(622,624) = ( 622 × 624) / 2
LCM(622,624) = 388128 / 2
LCM(622,624) = 194064

Properties of LCM 622 and 624

(i) The LCM of 624 and 622 is associative

LCM of 622 and 624 = LCM of 624 and 622

Related Least Common Multiples of 622

Related Least Common Multiples of 624

Frequently Asked Questions on LCM of 622 and 624

1. What is the LCM of 622 and 624?

Answer: LCM of 622 and 624 is 194064.

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 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.

4. How to Find the LCM of 622 and 624?

Answer:

Least Common Multiple of 622 and 624 = 194064

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 624

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

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

LCM = 194064 = 2 x 2 x 2 x 2 x 3 x 13 x 311

Step 4: Therefore, the least common multiple of 622 and 624 is 194064.