Least Common Multiple of 2692 and 2700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2692 and 2700 the smallest integer that is 1817100 that is divisible by both numbers.

Least Common Multiple (LCM) of 2692 and 2700 is 1817100.

LCM(2692,2700) = 1817100

LCM of 2692 and 2700

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

LCM of:
and

Least Common Multiple of 2692 and 2700

LCM of 2692 and 2700 is 1817100

Least common multiple can be found by multiplying the highest exponent prime factors of 2692 and 2700. First we will calculate the prime factors of 2692 and 2700.

Prime Factorization of 2692


2 2692
2 1346
673 673
1

Prime factors of 2692 are 2,673. Prime factorization of 2692 in exponential form is:

2692 = 22×6731

Prime Factorization of 2700


2 2700
2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 2700 are 2, 3,5. Prime factorization of 2700 in exponential form is:

2700 = 22×33×52

Now multiplying the highest exponent prime factors to calculate the LCM of 2692 and 2700.

LCM(2692,2700) = 22×33×52×6731
LCM(2692,2700) = 1817100

Factors of 2692

List of positive integer factors of 2692 that divides 2692 without a remainder.

1, 2, 4, 673, 1346, 2692

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700

Least Common Multiple of 2692 and 2700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2692 and 2700, than apply into the LCM equation.

GCF(2692,2700) = 4
LCM(2692,2700) = ( 2692 × 2700) / 4
LCM(2692,2700) = 7268400 / 4
LCM(2692,2700) = 1817100

Properties of LCM 2692 and 2700

(i) The LCM of 2700 and 2692 is associative

LCM of 2692 and 2700 = LCM of 2700 and 2692

Related Least Common Multiples of 2692

Related Least Common Multiples of 2700

Frequently Asked Questions on LCM of 2692 and 2700

1. What is the LCM of 2692 and 2700?

Answer: LCM of 2692 and 2700 is 1817100.

2. What are the Factors of 2692?

Answer: Factors of 2692 are 1, 2, 4, 673, 1346, 2692. There are 6 integers that are factors of 2692. The greatest factor of 2692 is 2692.

3. What are the Factors of 2700?

Answer: Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700. There are 36 integers that are factors of 2700. The greatest factor of 2700 is 2700.

4. How to Find the LCM of 2692 and 2700?

Answer:

Least Common Multiple of 2692 and 2700 = 1817100

Step 1: Find the prime factorization of 2692

2692 = 2 x 2 x 673

Step 2: Find the prime factorization of 2700

2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5

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

LCM = 1817100 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 673

Step 4: Therefore, the least common multiple of 2692 and 2700 is 1817100.