Least Common Multiple of 3670 and 3674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3670 and 3674 the smallest integer that is 6741790 that is divisible by both numbers.

Least Common Multiple (LCM) of 3670 and 3674 is 6741790.

LCM(3670,3674) = 6741790

LCM of 3670 and 3674

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

LCM of:
and

Least Common Multiple of 3670 and 3674

LCM of 3670 and 3674 is 6741790

Least common multiple can be found by multiplying the highest exponent prime factors of 3670 and 3674. First we will calculate the prime factors of 3670 and 3674.

Prime Factorization of 3670


2 3670
5 1835
367 367
1

Prime factors of 3670 are 2, 5,367. Prime factorization of 3670 in exponential form is:

3670 = 21×51×3671

Prime Factorization of 3674


2 3674
11 1837
167 167
1

Prime factors of 3674 are 2, 11,167. Prime factorization of 3674 in exponential form is:

3674 = 21×111×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3670 and 3674.

LCM(3670,3674) = 21×51×111×1671×3671
LCM(3670,3674) = 6741790

Factors of 3670

List of positive integer factors of 3670 that divides 3670 without a remainder.

1, 2, 5, 10, 367, 734, 1835, 3670

Factors of 3674

List of positive integer factors of 3674 that divides 3674 without a remainder.

1, 2, 11, 22, 167, 334, 1837, 3674

Least Common Multiple of 3670 and 3674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3670 and 3674, than apply into the LCM equation.

GCF(3670,3674) = 2
LCM(3670,3674) = ( 3670 × 3674) / 2
LCM(3670,3674) = 13483580 / 2
LCM(3670,3674) = 6741790

Properties of LCM 3670 and 3674

(i) The LCM of 3674 and 3670 is associative

LCM of 3670 and 3674 = LCM of 3674 and 3670

Related Least Common Multiples of 3670

Related Least Common Multiples of 3674

Frequently Asked Questions on LCM of 3670 and 3674

1. What is the LCM of 3670 and 3674?

Answer: LCM of 3670 and 3674 is 6741790.

2. What are the Factors of 3670?

Answer: Factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670. There are 8 integers that are factors of 3670. The greatest factor of 3670 is 3670.

3. What are the Factors of 3674?

Answer: Factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674. There are 8 integers that are factors of 3674. The greatest factor of 3674 is 3674.

4. How to Find the LCM of 3670 and 3674?

Answer:

Least Common Multiple of 3670 and 3674 = 6741790

Step 1: Find the prime factorization of 3670

3670 = 2 x 5 x 367

Step 2: Find the prime factorization of 3674

3674 = 2 x 11 x 167

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

LCM = 6741790 = 2 x 5 x 11 x 167 x 367

Step 4: Therefore, the least common multiple of 3670 and 3674 is 6741790.