Least Common Multiple of 3650 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 3650 and 3658 the smallest integer that is 6675850 that is divisible by both numbers.

Least Common Multiple (LCM) of 3650 and 3658 is 6675850.

LCM(3650,3658) = 6675850

LCM of 3650 and 3658

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

LCM of:
and

Least Common Multiple of 3650 and 3658

LCM of 3650 and 3658 is 6675850

Least common multiple can be found by multiplying the highest exponent prime factors of 3650 and 3658. First we will calculate the prime factors of 3650 and 3658.

Prime Factorization of 3650


2 3650
5 1825
5 365
73 73
1

Prime factors of 3650 are 2, 5,73. Prime factorization of 3650 in exponential form is:

3650 = 21×52×731

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 3650 and 3658.

LCM(3650,3658) = 21×52×311×591×731
LCM(3650,3658) = 6675850

Factors of 3650

List of positive integer factors of 3650 that divides 3650 without a remainder.

1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650

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 3650 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 3650 and 3658, than apply into the LCM equation.

GCF(3650,3658) = 2
LCM(3650,3658) = ( 3650 × 3658) / 2
LCM(3650,3658) = 13351700 / 2
LCM(3650,3658) = 6675850

Properties of LCM 3650 and 3658

(i) The LCM of 3658 and 3650 is associative

LCM of 3650 and 3658 = LCM of 3658 and 3650

Related Least Common Multiples of 3650

Related Least Common Multiples of 3658

Frequently Asked Questions on LCM of 3650 and 3658

1. What is the LCM of 3650 and 3658?

Answer: LCM of 3650 and 3658 is 6675850.

2. What are the Factors of 3650?

Answer: Factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650. There are 12 integers that are factors of 3650. The greatest factor of 3650 is 3650.

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 3650 and 3658?

Answer:

Least Common Multiple of 3650 and 3658 = 6675850

Step 1: Find the prime factorization of 3650

3650 = 2 x 5 x 5 x 73

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 = 6675850 = 2 x 5 x 5 x 31 x 59 x 73

Step 4: Therefore, the least common multiple of 3650 and 3658 is 6675850.