Least Common Multiple of 619 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 619 and 624 the smallest integer that is 386256 that is divisible by both numbers.

Least Common Multiple (LCM) of 619 and 624 is 386256.

LCM(619,624) = 386256

LCM of 619 and 624

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

LCM of:
and

Least Common Multiple of 619 and 624

LCM of 619 and 624 is 386256

Least common multiple can be found by multiplying the highest exponent prime factors of 619 and 624. First we will calculate the prime factors of 619 and 624.

Prime Factorization of 619


619 619
1

Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:

619 = 6191

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 619 and 624.

LCM(619,624) = 24×31×131×6191
LCM(619,624) = 386256

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1, 619

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 619 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 619 and 624, than apply into the LCM equation.

GCF(619,624) = 1
LCM(619,624) = ( 619 × 624) / 1
LCM(619,624) = 386256 / 1
LCM(619,624) = 386256

Properties of LCM 619 and 624

(i) The LCM of 624 and 619 is associative

LCM of 619 and 624 = LCM of 624 and 619

Related Least Common Multiples of 619

Related Least Common Multiples of 624

Frequently Asked Questions on LCM of 619 and 624

1. What is the LCM of 619 and 624?

Answer: LCM of 619 and 624 is 386256.

2. What are the Factors of 619?

Answer: Factors of 619 are 1, 619. There are 2 integers that are factors of 619. The greatest factor of 619 is 619.

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 619 and 624?

Answer:

Least Common Multiple of 619 and 624 = 386256

Step 1: Find the prime factorization of 619

619 = 619

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 = 386256 = 2 x 2 x 2 x 2 x 3 x 13 x 619

Step 4: Therefore, the least common multiple of 619 and 624 is 386256.