Least Common Multiple of 3612 and 3620

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 3620 the smallest integer that is 3268860 that is divisible by both numbers.

Least Common Multiple (LCM) of 3612 and 3620 is 3268860.

LCM(3612,3620) = 3268860

LCM of 3612 and 3620

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

LCM of:
and

Least Common Multiple of 3612 and 3620

LCM of 3612 and 3620 is 3268860

Least common multiple can be found by multiplying the highest exponent prime factors of 3612 and 3620. First we will calculate the prime factors of 3612 and 3620.

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 3620


2 3620
2 1810
5 905
181 181
1

Prime factors of 3620 are 2, 5,181. Prime factorization of 3620 in exponential form is:

3620 = 22×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3612 and 3620.

LCM(3612,3620) = 22×31×51×71×431×1811
LCM(3612,3620) = 3268860

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 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620

Least Common Multiple of 3612 and 3620 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 3620, than apply into the LCM equation.

GCF(3612,3620) = 4
LCM(3612,3620) = ( 3612 × 3620) / 4
LCM(3612,3620) = 13075440 / 4
LCM(3612,3620) = 3268860

Properties of LCM 3612 and 3620

(i) The LCM of 3620 and 3612 is associative

LCM of 3612 and 3620 = LCM of 3620 and 3612

Related Least Common Multiples of 3612

Related Least Common Multiples of 3620

Frequently Asked Questions on LCM of 3612 and 3620

1. What is the LCM of 3612 and 3620?

Answer: LCM of 3612 and 3620 is 3268860.

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 3620?

Answer: Factors of 3620 are 1, 2, 4, 5, 10, 20, 181, 362, 724, 905, 1810, 3620. There are 12 integers that are factors of 3620. The greatest factor of 3620 is 3620.

4. How to Find the LCM of 3612 and 3620?

Answer:

Least Common Multiple of 3612 and 3620 = 3268860

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 3620

3620 = 2 x 2 x 5 x 181

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

LCM = 3268860 = 2 x 2 x 3 x 5 x 7 x 43 x 181

Step 4: Therefore, the least common multiple of 3612 and 3620 is 3268860.