Least Common Multiple of 3540 and 3546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3540 and 3546 the smallest integer that is 2092140 that is divisible by both numbers.

Least Common Multiple (LCM) of 3540 and 3546 is 2092140.

LCM(3540,3546) = 2092140

LCM of 3540 and 3546

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

LCM of:
and

Least Common Multiple of 3540 and 3546

LCM of 3540 and 3546 is 2092140

Least common multiple can be found by multiplying the highest exponent prime factors of 3540 and 3546. First we will calculate the prime factors of 3540 and 3546.

Prime Factorization of 3540


2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 3540 are 2, 3, 5,59. Prime factorization of 3540 in exponential form is:

3540 = 22×31×51×591

Prime Factorization of 3546


2 3546
3 1773
3 591
197 197
1

Prime factors of 3546 are 2, 3,197. Prime factorization of 3546 in exponential form is:

3546 = 21×32×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 3540 and 3546.

LCM(3540,3546) = 22×32×51×591×1971
LCM(3540,3546) = 2092140

Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540

Factors of 3546

List of positive integer factors of 3546 that divides 3546 without a remainder.

1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546

Least Common Multiple of 3540 and 3546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3540 and 3546, than apply into the LCM equation.

GCF(3540,3546) = 6
LCM(3540,3546) = ( 3540 × 3546) / 6
LCM(3540,3546) = 12552840 / 6
LCM(3540,3546) = 2092140

Properties of LCM 3540 and 3546

(i) The LCM of 3546 and 3540 is associative

LCM of 3540 and 3546 = LCM of 3546 and 3540

Related Least Common Multiples of 3540

Related Least Common Multiples of 3546

Frequently Asked Questions on LCM of 3540 and 3546

1. What is the LCM of 3540 and 3546?

Answer: LCM of 3540 and 3546 is 2092140.

2. What are the Factors of 3540?

Answer: Factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. There are 24 integers that are factors of 3540. The greatest factor of 3540 is 3540.

3. What are the Factors of 3546?

Answer: Factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546. There are 12 integers that are factors of 3546. The greatest factor of 3546 is 3546.

4. How to Find the LCM of 3540 and 3546?

Answer:

Least Common Multiple of 3540 and 3546 = 2092140

Step 1: Find the prime factorization of 3540

3540 = 2 x 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 3546

3546 = 2 x 3 x 3 x 197

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

LCM = 2092140 = 2 x 2 x 3 x 3 x 5 x 59 x 197

Step 4: Therefore, the least common multiple of 3540 and 3546 is 2092140.