Least Common Multiple of 1818 and 1824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1818 and 1824 the smallest integer that is 552672 that is divisible by both numbers.

Least Common Multiple (LCM) of 1818 and 1824 is 552672.

LCM(1818,1824) = 552672

LCM of 1818 and 1824

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

LCM of:
and

Least Common Multiple of 1818 and 1824

LCM of 1818 and 1824 is 552672

Least common multiple can be found by multiplying the highest exponent prime factors of 1818 and 1824. First we will calculate the prime factors of 1818 and 1824.

Prime Factorization of 1818


2 1818
3 909
3 303
101 101
1

Prime factors of 1818 are 2, 3,101. Prime factorization of 1818 in exponential form is:

1818 = 21×32×1011

Prime Factorization of 1824


2 1824
2 912
2 456
2 228
2 114
3 57
19 19
1

Prime factors of 1824 are 2, 3,19. Prime factorization of 1824 in exponential form is:

1824 = 25×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1818 and 1824.

LCM(1818,1824) = 25×32×191×1011
LCM(1818,1824) = 552672

Factors of 1818

List of positive integer factors of 1818 that divides 1818 without a remainder.

1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824

Least Common Multiple of 1818 and 1824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1818 and 1824, than apply into the LCM equation.

GCF(1818,1824) = 6
LCM(1818,1824) = ( 1818 × 1824) / 6
LCM(1818,1824) = 3316032 / 6
LCM(1818,1824) = 552672

Properties of LCM 1818 and 1824

(i) The LCM of 1824 and 1818 is associative

LCM of 1818 and 1824 = LCM of 1824 and 1818

Related Least Common Multiples of 1818

Related Least Common Multiples of 1824

Frequently Asked Questions on LCM of 1818 and 1824

1. What is the LCM of 1818 and 1824?

Answer: LCM of 1818 and 1824 is 552672.

2. What are the Factors of 1818?

Answer: Factors of 1818 are 1, 2, 3, 6, 9, 18, 101, 202, 303, 606, 909, 1818. There are 12 integers that are factors of 1818. The greatest factor of 1818 is 1818.

3. What are the Factors of 1824?

Answer: Factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824. There are 24 integers that are factors of 1824. The greatest factor of 1824 is 1824.

4. How to Find the LCM of 1818 and 1824?

Answer:

Least Common Multiple of 1818 and 1824 = 552672

Step 1: Find the prime factorization of 1818

1818 = 2 x 3 x 3 x 101

Step 2: Find the prime factorization of 1824

1824 = 2 x 2 x 2 x 2 x 2 x 3 x 19

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

LCM = 552672 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 101

Step 4: Therefore, the least common multiple of 1818 and 1824 is 552672.