Least Common Multiple of 620 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 620 and 624 the smallest integer that is 96720 that is divisible by both numbers.

Least Common Multiple (LCM) of 620 and 624 is 96720.

LCM(620,624) = 96720

LCM of 620 and 624

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

LCM of:
and

Least Common Multiple of 620 and 624

LCM of 620 and 624 is 96720

Least common multiple can be found by multiplying the highest exponent prime factors of 620 and 624. First we will calculate the prime factors of 620 and 624.

Prime Factorization of 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

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 620 and 624.

LCM(620,624) = 24×31×51×131×311
LCM(620,624) = 96720

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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 620 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 620 and 624, than apply into the LCM equation.

GCF(620,624) = 4
LCM(620,624) = ( 620 × 624) / 4
LCM(620,624) = 386880 / 4
LCM(620,624) = 96720

Properties of LCM 620 and 624

(i) The LCM of 624 and 620 is associative

LCM of 620 and 624 = LCM of 624 and 620

Related Least Common Multiples of 620

Related Least Common Multiples of 624

Frequently Asked Questions on LCM of 620 and 624

1. What is the LCM of 620 and 624?

Answer: LCM of 620 and 624 is 96720.

2. What are the Factors of 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

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 620 and 624?

Answer:

Least Common Multiple of 620 and 624 = 96720

Step 1: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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 = 96720 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 620 and 624 is 96720.