Least Common Multiple of 3651 and 3658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3651 and 3658 the smallest integer that is 13355358 that is divisible by both numbers.

Least Common Multiple (LCM) of 3651 and 3658 is 13355358.

LCM(3651,3658) = 13355358

LCM of 3651 and 3658

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

LCM of:
and

Least Common Multiple of 3651 and 3658

LCM of 3651 and 3658 is 13355358

Least common multiple can be found by multiplying the highest exponent prime factors of 3651 and 3658. First we will calculate the prime factors of 3651 and 3658.

Prime Factorization of 3651


3 3651
1217 1217
1

Prime factors of 3651 are 3,1217. Prime factorization of 3651 in exponential form is:

3651 = 31×12171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3651 and 3658.

LCM(3651,3658) = 21×31×311×591×12171
LCM(3651,3658) = 13355358

Factors of 3651

List of positive integer factors of 3651 that divides 3651 without a remainder.

1, 3, 1217, 3651

Factors of 3658

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

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

Least Common Multiple of 3651 and 3658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3651 and 3658, than apply into the LCM equation.

GCF(3651,3658) = 1
LCM(3651,3658) = ( 3651 × 3658) / 1
LCM(3651,3658) = 13355358 / 1
LCM(3651,3658) = 13355358

Properties of LCM 3651 and 3658

(i) The LCM of 3658 and 3651 is associative

LCM of 3651 and 3658 = LCM of 3658 and 3651

Related Least Common Multiples of 3651

Related Least Common Multiples of 3658

Frequently Asked Questions on LCM of 3651 and 3658

1. What is the LCM of 3651 and 3658?

Answer: LCM of 3651 and 3658 is 13355358.

2. What are the Factors of 3651?

Answer: Factors of 3651 are 1, 3, 1217, 3651. There are 4 integers that are factors of 3651. The greatest factor of 3651 is 3651.

3. 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.

4. How to Find the LCM of 3651 and 3658?

Answer:

Least Common Multiple of 3651 and 3658 = 13355358

Step 1: Find the prime factorization of 3651

3651 = 3 x 1217

Step 2: Find the prime factorization of 3658

3658 = 2 x 31 x 59

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

LCM = 13355358 = 2 x 3 x 31 x 59 x 1217

Step 4: Therefore, the least common multiple of 3651 and 3658 is 13355358.