Least Common Multiple of 3650 and 3654

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 3654 the smallest integer that is 6668550 that is divisible by both numbers.

Least Common Multiple (LCM) of 3650 and 3654 is 6668550.

LCM(3650,3654) = 6668550

LCM of 3650 and 3654

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

LCM of:
and

Least Common Multiple of 3650 and 3654

LCM of 3650 and 3654 is 6668550

Least common multiple can be found by multiplying the highest exponent prime factors of 3650 and 3654. First we will calculate the prime factors of 3650 and 3654.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3650 and 3654.

LCM(3650,3654) = 21×32×52×71×291×731
LCM(3650,3654) = 6668550

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 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

Least Common Multiple of 3650 and 3654 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 3654, than apply into the LCM equation.

GCF(3650,3654) = 2
LCM(3650,3654) = ( 3650 × 3654) / 2
LCM(3650,3654) = 13337100 / 2
LCM(3650,3654) = 6668550

Properties of LCM 3650 and 3654

(i) The LCM of 3654 and 3650 is associative

LCM of 3650 and 3654 = LCM of 3654 and 3650

Related Least Common Multiples of 3650

Related Least Common Multiples of 3654

Frequently Asked Questions on LCM of 3650 and 3654

1. What is the LCM of 3650 and 3654?

Answer: LCM of 3650 and 3654 is 6668550.

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 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.

4. How to Find the LCM of 3650 and 3654?

Answer:

Least Common Multiple of 3650 and 3654 = 6668550

Step 1: Find the prime factorization of 3650

3650 = 2 x 5 x 5 x 73

Step 2: Find the prime factorization of 3654

3654 = 2 x 3 x 3 x 7 x 29

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

LCM = 6668550 = 2 x 3 x 3 x 5 x 5 x 7 x 29 x 73

Step 4: Therefore, the least common multiple of 3650 and 3654 is 6668550.