Least Common Multiple of 3612 and 3619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3612 and 3619 the smallest integer that is 1867404 that is divisible by both numbers.

Least Common Multiple (LCM) of 3612 and 3619 is 1867404.

LCM(3612,3619) = 1867404

LCM of 3612 and 3619

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

LCM of:
and

Least Common Multiple of 3612 and 3619

LCM of 3612 and 3619 is 1867404

Least common multiple can be found by multiplying the highest exponent prime factors of 3612 and 3619. First we will calculate the prime factors of 3612 and 3619.

Prime Factorization of 3612


2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 3612 are 2, 3, 7,43. Prime factorization of 3612 in exponential form is:

3612 = 22×31×71×431

Prime Factorization of 3619


7 3619
11 517
47 47
1

Prime factors of 3619 are 7, 11,47. Prime factorization of 3619 in exponential form is:

3619 = 71×111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3612 and 3619.

LCM(3612,3619) = 22×31×71×111×431×471
LCM(3612,3619) = 1867404

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612

Factors of 3619

List of positive integer factors of 3619 that divides 3619 without a remainder.

1, 7, 11, 47, 77, 329, 517, 3619

Least Common Multiple of 3612 and 3619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3612 and 3619, than apply into the LCM equation.

GCF(3612,3619) = 7
LCM(3612,3619) = ( 3612 × 3619) / 7
LCM(3612,3619) = 13071828 / 7
LCM(3612,3619) = 1867404

Properties of LCM 3612 and 3619

(i) The LCM of 3619 and 3612 is associative

LCM of 3612 and 3619 = LCM of 3619 and 3612

Related Least Common Multiples of 3612

Related Least Common Multiples of 3619

Frequently Asked Questions on LCM of 3612 and 3619

1. What is the LCM of 3612 and 3619?

Answer: LCM of 3612 and 3619 is 1867404.

2. What are the Factors of 3612?

Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.

3. What are the Factors of 3619?

Answer: Factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619. There are 8 integers that are factors of 3619. The greatest factor of 3619 is 3619.

4. How to Find the LCM of 3612 and 3619?

Answer:

Least Common Multiple of 3612 and 3619 = 1867404

Step 1: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 3619

3619 = 7 x 11 x 47

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

LCM = 1867404 = 2 x 2 x 3 x 7 x 11 x 43 x 47

Step 4: Therefore, the least common multiple of 3612 and 3619 is 1867404.