Least Common Multiple of 3658 and 3666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3658 and 3666 the smallest integer that is 6705114 that is divisible by both numbers.

Least Common Multiple (LCM) of 3658 and 3666 is 6705114.

LCM(3658,3666) = 6705114

LCM of 3658 and 3666

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

LCM of:
and

Least Common Multiple of 3658 and 3666

LCM of 3658 and 3666 is 6705114

Least common multiple can be found by multiplying the highest exponent prime factors of 3658 and 3666. First we will calculate the prime factors of 3658 and 3666.

Prime Factorization of 3658


2 3658
31 1829
59 59
1

Prime factors of 3658 are 2, 31,59. Prime factorization of 3658 in exponential form is:

3658 = 21×311×591

Prime Factorization of 3666


2 3666
3 1833
13 611
47 47
1

Prime factors of 3666 are 2, 3, 13,47. Prime factorization of 3666 in exponential form is:

3666 = 21×31×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3658 and 3666.

LCM(3658,3666) = 21×31×131×311×471×591
LCM(3658,3666) = 6705114

Factors of 3658

List of positive integer factors of 3658 that divides 3658 without a remainder.

1, 2, 31, 59, 62, 118, 1829, 3658

Factors of 3666

List of positive integer factors of 3666 that divides 3666 without a remainder.

1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666

Least Common Multiple of 3658 and 3666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3658 and 3666, than apply into the LCM equation.

GCF(3658,3666) = 2
LCM(3658,3666) = ( 3658 × 3666) / 2
LCM(3658,3666) = 13410228 / 2
LCM(3658,3666) = 6705114

Properties of LCM 3658 and 3666

(i) The LCM of 3666 and 3658 is associative

LCM of 3658 and 3666 = LCM of 3666 and 3658

Related Least Common Multiples of 3658

Related Least Common Multiples of 3666

Frequently Asked Questions on LCM of 3658 and 3666

1. What is the LCM of 3658 and 3666?

Answer: LCM of 3658 and 3666 is 6705114.

2. What are the Factors of 3658?

Answer: Factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658. There are 8 integers that are factors of 3658. The greatest factor of 3658 is 3658.

3. What are the Factors of 3666?

Answer: Factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666. There are 16 integers that are factors of 3666. The greatest factor of 3666 is 3666.

4. How to Find the LCM of 3658 and 3666?

Answer:

Least Common Multiple of 3658 and 3666 = 6705114

Step 1: Find the prime factorization of 3658

3658 = 2 x 31 x 59

Step 2: Find the prime factorization of 3666

3666 = 2 x 3 x 13 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 = 6705114 = 2 x 3 x 13 x 31 x 47 x 59

Step 4: Therefore, the least common multiple of 3658 and 3666 is 6705114.