Least Common Multiple of 1884 and 1888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1884 and 1888 the smallest integer that is 889248 that is divisible by both numbers.

Least Common Multiple (LCM) of 1884 and 1888 is 889248.

LCM(1884,1888) = 889248

LCM of 1884 and 1888

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

LCM of:
and

Least Common Multiple of 1884 and 1888

LCM of 1884 and 1888 is 889248

Least common multiple can be found by multiplying the highest exponent prime factors of 1884 and 1888. First we will calculate the prime factors of 1884 and 1888.

Prime Factorization of 1884


2 1884
2 942
3 471
157 157
1

Prime factors of 1884 are 2, 3,157. Prime factorization of 1884 in exponential form is:

1884 = 22×31×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1884 and 1888.

LCM(1884,1888) = 25×31×591×1571
LCM(1884,1888) = 889248

Factors of 1884

List of positive integer factors of 1884 that divides 1884 without a remainder.

1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884

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

Least Common Multiple of 1884 and 1888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1884 and 1888, than apply into the LCM equation.

GCF(1884,1888) = 4
LCM(1884,1888) = ( 1884 × 1888) / 4
LCM(1884,1888) = 3556992 / 4
LCM(1884,1888) = 889248

Properties of LCM 1884 and 1888

(i) The LCM of 1888 and 1884 is associative

LCM of 1884 and 1888 = LCM of 1888 and 1884

Related Least Common Multiples of 1884

Related Least Common Multiples of 1888

Frequently Asked Questions on LCM of 1884 and 1888

1. What is the LCM of 1884 and 1888?

Answer: LCM of 1884 and 1888 is 889248.

2. What are the Factors of 1884?

Answer: Factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884. There are 12 integers that are factors of 1884. The greatest factor of 1884 is 1884.

3. 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.

4. How to Find the LCM of 1884 and 1888?

Answer:

Least Common Multiple of 1884 and 1888 = 889248

Step 1: Find the prime factorization of 1884

1884 = 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 1888

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

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

LCM = 889248 = 2 x 2 x 2 x 2 x 2 x 3 x 59 x 157

Step 4: Therefore, the least common multiple of 1884 and 1888 is 889248.