Least Common Multiple of 1896 and 1902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1896 and 1902 the smallest integer that is 601032 that is divisible by both numbers.

Least Common Multiple (LCM) of 1896 and 1902 is 601032.

LCM(1896,1902) = 601032

LCM of 1896 and 1902

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

LCM of:
and

Least Common Multiple of 1896 and 1902

LCM of 1896 and 1902 is 601032

Least common multiple can be found by multiplying the highest exponent prime factors of 1896 and 1902. First we will calculate the prime factors of 1896 and 1902.

Prime Factorization of 1896


2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 1896 are 2, 3,79. Prime factorization of 1896 in exponential form is:

1896 = 23×31×791

Prime Factorization of 1902


2 1902
3 951
317 317
1

Prime factors of 1902 are 2, 3,317. Prime factorization of 1902 in exponential form is:

1902 = 21×31×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 1896 and 1902.

LCM(1896,1902) = 23×31×791×3171
LCM(1896,1902) = 601032

Factors of 1896

List of positive integer factors of 1896 that divides 1896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896

Factors of 1902

List of positive integer factors of 1902 that divides 1902 without a remainder.

1, 2, 3, 6, 317, 634, 951, 1902

Least Common Multiple of 1896 and 1902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1896 and 1902, than apply into the LCM equation.

GCF(1896,1902) = 6
LCM(1896,1902) = ( 1896 × 1902) / 6
LCM(1896,1902) = 3606192 / 6
LCM(1896,1902) = 601032

Properties of LCM 1896 and 1902

(i) The LCM of 1902 and 1896 is associative

LCM of 1896 and 1902 = LCM of 1902 and 1896

Related Least Common Multiples of 1896

Related Least Common Multiples of 1902

Frequently Asked Questions on LCM of 1896 and 1902

1. What is the LCM of 1896 and 1902?

Answer: LCM of 1896 and 1902 is 601032.

2. What are the Factors of 1896?

Answer: Factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896. There are 16 integers that are factors of 1896. The greatest factor of 1896 is 1896.

3. What are the Factors of 1902?

Answer: Factors of 1902 are 1, 2, 3, 6, 317, 634, 951, 1902. There are 8 integers that are factors of 1902. The greatest factor of 1902 is 1902.

4. How to Find the LCM of 1896 and 1902?

Answer:

Least Common Multiple of 1896 and 1902 = 601032

Step 1: Find the prime factorization of 1896

1896 = 2 x 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 1902

1902 = 2 x 3 x 317

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

LCM = 601032 = 2 x 2 x 2 x 3 x 79 x 317

Step 4: Therefore, the least common multiple of 1896 and 1902 is 601032.