Least Common Multiple of 619 and 620

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 620 the smallest integer that is 383780 that is divisible by both numbers.

Least Common Multiple (LCM) of 619 and 620 is 383780.

LCM(619,620) = 383780

LCM of 619 and 620

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

LCM of:
and

Least Common Multiple of 619 and 620

LCM of 619 and 620 is 383780

Least common multiple can be found by multiplying the highest exponent prime factors of 619 and 620. First we will calculate the prime factors of 619 and 620.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 619 and 620.

LCM(619,620) = 22×51×311×6191
LCM(619,620) = 383780

Factors of 619

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

1, 619

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

Least Common Multiple of 619 and 620 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 620, than apply into the LCM equation.

GCF(619,620) = 1
LCM(619,620) = ( 619 × 620) / 1
LCM(619,620) = 383780 / 1
LCM(619,620) = 383780

Properties of LCM 619 and 620

(i) The LCM of 620 and 619 is associative

LCM of 619 and 620 = LCM of 620 and 619

Frequently Asked Questions on LCM of 619 and 620

1. What is the LCM of 619 and 620?

Answer: LCM of 619 and 620 is 383780.

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 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.

4. How to Find the LCM of 619 and 620?

Answer:

Least Common Multiple of 619 and 620 = 383780

Step 1: Find the prime factorization of 619

619 = 619

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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

LCM = 383780 = 2 x 2 x 5 x 31 x 619

Step 4: Therefore, the least common multiple of 619 and 620 is 383780.