Least Common Multiple of 1888 and 1894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1888 and 1894 the smallest integer that is 1787936 that is divisible by both numbers.

Least Common Multiple (LCM) of 1888 and 1894 is 1787936.

LCM(1888,1894) = 1787936

LCM of 1888 and 1894

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

LCM of:
and

Least Common Multiple of 1888 and 1894

LCM of 1888 and 1894 is 1787936

Least common multiple can be found by multiplying the highest exponent prime factors of 1888 and 1894. First we will calculate the prime factors of 1888 and 1894.

Prime Factorization of 1888


2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 1888 are 2,59. Prime factorization of 1888 in exponential form is:

1888 = 25×591

Prime Factorization of 1894


2 1894
947 947
1

Prime factors of 1894 are 2,947. Prime factorization of 1894 in exponential form is:

1894 = 21×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 1888 and 1894.

LCM(1888,1894) = 25×591×9471
LCM(1888,1894) = 1787936

Factors of 1888

List of positive integer factors of 1888 that divides 1888 without a remainder.

1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888

Factors of 1894

List of positive integer factors of 1894 that divides 1894 without a remainder.

1, 2, 947, 1894

Least Common Multiple of 1888 and 1894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1888 and 1894, than apply into the LCM equation.

GCF(1888,1894) = 2
LCM(1888,1894) = ( 1888 × 1894) / 2
LCM(1888,1894) = 3575872 / 2
LCM(1888,1894) = 1787936

Properties of LCM 1888 and 1894

(i) The LCM of 1894 and 1888 is associative

LCM of 1888 and 1894 = LCM of 1894 and 1888

Related Least Common Multiples of 1888

Related Least Common Multiples of 1894

Frequently Asked Questions on LCM of 1888 and 1894

1. What is the LCM of 1888 and 1894?

Answer: LCM of 1888 and 1894 is 1787936.

2. What are the Factors of 1888?

Answer: Factors of 1888 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888. There are 12 integers that are factors of 1888. The greatest factor of 1888 is 1888.

3. What are the Factors of 1894?

Answer: Factors of 1894 are 1, 2, 947, 1894. There are 4 integers that are factors of 1894. The greatest factor of 1894 is 1894.

4. How to Find the LCM of 1888 and 1894?

Answer:

Least Common Multiple of 1888 and 1894 = 1787936

Step 1: Find the prime factorization of 1888

1888 = 2 x 2 x 2 x 2 x 2 x 59

Step 2: Find the prime factorization of 1894

1894 = 2 x 947

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

LCM = 1787936 = 2 x 2 x 2 x 2 x 2 x 59 x 947

Step 4: Therefore, the least common multiple of 1888 and 1894 is 1787936.