Least Common Multiple of 3662 and 3668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3662 and 3668 the smallest integer that is 6716108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3662 and 3668 is 6716108.

LCM(3662,3668) = 6716108

LCM of 3662 and 3668

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

LCM of:
and

Least Common Multiple of 3662 and 3668

LCM of 3662 and 3668 is 6716108

Least common multiple can be found by multiplying the highest exponent prime factors of 3662 and 3668. First we will calculate the prime factors of 3662 and 3668.

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

Prime Factorization of 3668


2 3668
2 1834
7 917
131 131
1

Prime factors of 3668 are 2, 7,131. Prime factorization of 3668 in exponential form is:

3668 = 22×71×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3662 and 3668.

LCM(3662,3668) = 22×71×1311×18311
LCM(3662,3668) = 6716108

Factors of 3662

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

1, 2, 1831, 3662

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668

Least Common Multiple of 3662 and 3668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3662 and 3668, than apply into the LCM equation.

GCF(3662,3668) = 2
LCM(3662,3668) = ( 3662 × 3668) / 2
LCM(3662,3668) = 13432216 / 2
LCM(3662,3668) = 6716108

Properties of LCM 3662 and 3668

(i) The LCM of 3668 and 3662 is associative

LCM of 3662 and 3668 = LCM of 3668 and 3662

Related Least Common Multiples of 3662

Related Least Common Multiples of 3668

Frequently Asked Questions on LCM of 3662 and 3668

1. What is the LCM of 3662 and 3668?

Answer: LCM of 3662 and 3668 is 6716108.

2. 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.

3. What are the Factors of 3668?

Answer: Factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. There are 12 integers that are factors of 3668. The greatest factor of 3668 is 3668.

4. How to Find the LCM of 3662 and 3668?

Answer:

Least Common Multiple of 3662 and 3668 = 6716108

Step 1: Find the prime factorization of 3662

3662 = 2 x 1831

Step 2: Find the prime factorization of 3668

3668 = 2 x 2 x 7 x 131

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

LCM = 6716108 = 2 x 2 x 7 x 131 x 1831

Step 4: Therefore, the least common multiple of 3662 and 3668 is 6716108.