Least Common Multiple of 1896 and 1901

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 1901 the smallest integer that is 3604296 that is divisible by both numbers.

Least Common Multiple (LCM) of 1896 and 1901 is 3604296.

LCM(1896,1901) = 3604296

LCM of 1896 and 1901

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

LCM of:
and

Least Common Multiple of 1896 and 1901

LCM of 1896 and 1901 is 3604296

Least common multiple can be found by multiplying the highest exponent prime factors of 1896 and 1901. First we will calculate the prime factors of 1896 and 1901.

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 1901


1901 1901
1

Prime factors of 1901 are 1901. Prime factorization of 1901 in exponential form is:

1901 = 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 1896 and 1901.

LCM(1896,1901) = 23×31×791×19011
LCM(1896,1901) = 3604296

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 1901

List of positive integer factors of 1901 that divides 1901 without a remainder.

1, 1901

Least Common Multiple of 1896 and 1901 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 1901, than apply into the LCM equation.

GCF(1896,1901) = 1
LCM(1896,1901) = ( 1896 × 1901) / 1
LCM(1896,1901) = 3604296 / 1
LCM(1896,1901) = 3604296

Properties of LCM 1896 and 1901

(i) The LCM of 1901 and 1896 is associative

LCM of 1896 and 1901 = LCM of 1901 and 1896

Related Least Common Multiples of 1896

Related Least Common Multiples of 1901

Frequently Asked Questions on LCM of 1896 and 1901

1. What is the LCM of 1896 and 1901?

Answer: LCM of 1896 and 1901 is 3604296.

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 1901?

Answer: Factors of 1901 are 1, 1901. There are 2 integers that are factors of 1901. The greatest factor of 1901 is 1901.

4. How to Find the LCM of 1896 and 1901?

Answer:

Least Common Multiple of 1896 and 1901 = 3604296

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 1901

1901 = 1901

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

LCM = 3604296 = 2 x 2 x 2 x 3 x 79 x 1901

Step 4: Therefore, the least common multiple of 1896 and 1901 is 3604296.