Least Common Multiple of 616 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 616 and 624 the smallest integer that is 48048 that is divisible by both numbers.

Least Common Multiple (LCM) of 616 and 624 is 48048.

LCM(616,624) = 48048

LCM of 616 and 624

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

LCM of:
and

Least Common Multiple of 616 and 624

LCM of 616 and 624 is 48048

Least common multiple can be found by multiplying the highest exponent prime factors of 616 and 624. First we will calculate the prime factors of 616 and 624.

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

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 616 and 624.

LCM(616,624) = 24×31×71×111×131
LCM(616,624) = 48048

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 616 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 616 and 624, than apply into the LCM equation.

GCF(616,624) = 8
LCM(616,624) = ( 616 × 624) / 8
LCM(616,624) = 384384 / 8
LCM(616,624) = 48048

Properties of LCM 616 and 624

(i) The LCM of 624 and 616 is associative

LCM of 616 and 624 = LCM of 624 and 616

Related Least Common Multiples of 616

Related Least Common Multiples of 624

Frequently Asked Questions on LCM of 616 and 624

1. What is the LCM of 616 and 624?

Answer: LCM of 616 and 624 is 48048.

2. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

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 616 and 624?

Answer:

Least Common Multiple of 616 and 624 = 48048

Step 1: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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 = 48048 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 616 and 624 is 48048.