Least Common Multiple of 3654 and 3662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3654 and 3662 the smallest integer that is 6690474 that is divisible by both numbers.

Least Common Multiple (LCM) of 3654 and 3662 is 6690474.

LCM(3654,3662) = 6690474

LCM of 3654 and 3662

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

LCM of:
and

Least Common Multiple of 3654 and 3662

LCM of 3654 and 3662 is 6690474

Least common multiple can be found by multiplying the highest exponent prime factors of 3654 and 3662. First we will calculate the prime factors of 3654 and 3662.

Prime Factorization of 3654


2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 3654 are 2, 3, 7,29. Prime factorization of 3654 in exponential form is:

3654 = 21×32×71×291

Prime Factorization of 3662


2 3662
1831 1831
1

Prime factors of 3662 are 2,1831. Prime factorization of 3662 in exponential form is:

3662 = 21×18311

Now multiplying the highest exponent prime factors to calculate the LCM of 3654 and 3662.

LCM(3654,3662) = 21×32×71×291×18311
LCM(3654,3662) = 6690474

Factors of 3654

List of positive integer factors of 3654 that divides 3654 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654

Factors of 3662

List of positive integer factors of 3662 that divides 3662 without a remainder.

1, 2, 1831, 3662

Least Common Multiple of 3654 and 3662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3654 and 3662, than apply into the LCM equation.

GCF(3654,3662) = 2
LCM(3654,3662) = ( 3654 × 3662) / 2
LCM(3654,3662) = 13380948 / 2
LCM(3654,3662) = 6690474

Properties of LCM 3654 and 3662

(i) The LCM of 3662 and 3654 is associative

LCM of 3654 and 3662 = LCM of 3662 and 3654

Related Least Common Multiples of 3654

Related Least Common Multiples of 3662

Frequently Asked Questions on LCM of 3654 and 3662

1. What is the LCM of 3654 and 3662?

Answer: LCM of 3654 and 3662 is 6690474.

2. What are the Factors of 3654?

Answer: Factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654. There are 24 integers that are factors of 3654. The greatest factor of 3654 is 3654.

3. What are the Factors of 3662?

Answer: Factors of 3662 are 1, 2, 1831, 3662. There are 4 integers that are factors of 3662. The greatest factor of 3662 is 3662.

4. How to Find the LCM of 3654 and 3662?

Answer:

Least Common Multiple of 3654 and 3662 = 6690474

Step 1: Find the prime factorization of 3654

3654 = 2 x 3 x 3 x 7 x 29

Step 2: Find the prime factorization of 3662

3662 = 2 x 1831

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

LCM = 6690474 = 2 x 3 x 3 x 7 x 29 x 1831

Step 4: Therefore, the least common multiple of 3654 and 3662 is 6690474.