Least Common Multiple of 1829 and 1837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1829 and 1837 the smallest integer that is 3359873 that is divisible by both numbers.

Least Common Multiple (LCM) of 1829 and 1837 is 3359873.

LCM(1829,1837) = 3359873

LCM of 1829 and 1837

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

LCM of:
and

Least Common Multiple of 1829 and 1837

LCM of 1829 and 1837 is 3359873

Least common multiple can be found by multiplying the highest exponent prime factors of 1829 and 1837. First we will calculate the prime factors of 1829 and 1837.

Prime Factorization of 1829


31 1829
59 59
1

Prime factors of 1829 are 31,59. Prime factorization of 1829 in exponential form is:

1829 = 311×591

Prime Factorization of 1837


11 1837
167 167
1

Prime factors of 1837 are 11,167. Prime factorization of 1837 in exponential form is:

1837 = 111×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 1829 and 1837.

LCM(1829,1837) = 111×311×591×1671
LCM(1829,1837) = 3359873

Factors of 1829

List of positive integer factors of 1829 that divides 1829 without a remainder.

1, 31, 59, 1829

Factors of 1837

List of positive integer factors of 1837 that divides 1837 without a remainder.

1, 11, 167, 1837

Least Common Multiple of 1829 and 1837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1829 and 1837, than apply into the LCM equation.

GCF(1829,1837) = 1
LCM(1829,1837) = ( 1829 × 1837) / 1
LCM(1829,1837) = 3359873 / 1
LCM(1829,1837) = 3359873

Properties of LCM 1829 and 1837

(i) The LCM of 1837 and 1829 is associative

LCM of 1829 and 1837 = LCM of 1837 and 1829

Related Least Common Multiples of 1829

Related Least Common Multiples of 1837

Frequently Asked Questions on LCM of 1829 and 1837

1. What is the LCM of 1829 and 1837?

Answer: LCM of 1829 and 1837 is 3359873.

2. What are the Factors of 1829?

Answer: Factors of 1829 are 1, 31, 59, 1829. There are 4 integers that are factors of 1829. The greatest factor of 1829 is 1829.

3. What are the Factors of 1837?

Answer: Factors of 1837 are 1, 11, 167, 1837. There are 4 integers that are factors of 1837. The greatest factor of 1837 is 1837.

4. How to Find the LCM of 1829 and 1837?

Answer:

Least Common Multiple of 1829 and 1837 = 3359873

Step 1: Find the prime factorization of 1829

1829 = 31 x 59

Step 2: Find the prime factorization of 1837

1837 = 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 = 3359873 = 11 x 31 x 59 x 167

Step 4: Therefore, the least common multiple of 1829 and 1837 is 3359873.