Least Common Multiple of 1880 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 1880 and 1888 the smallest integer that is 443680 that is divisible by both numbers.

Least Common Multiple (LCM) of 1880 and 1888 is 443680.

LCM(1880,1888) = 443680

LCM of 1880 and 1888

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

LCM of:
and

Least Common Multiple of 1880 and 1888

LCM of 1880 and 1888 is 443680

Least common multiple can be found by multiplying the highest exponent prime factors of 1880 and 1888. First we will calculate the prime factors of 1880 and 1888.

Prime Factorization of 1880


2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 1880 are 2, 5,47. Prime factorization of 1880 in exponential form is:

1880 = 23×51×471

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 1880 and 1888.

LCM(1880,1888) = 25×51×471×591
LCM(1880,1888) = 443680

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880

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 1880 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 1880 and 1888, than apply into the LCM equation.

GCF(1880,1888) = 8
LCM(1880,1888) = ( 1880 × 1888) / 8
LCM(1880,1888) = 3549440 / 8
LCM(1880,1888) = 443680

Properties of LCM 1880 and 1888

(i) The LCM of 1888 and 1880 is associative

LCM of 1880 and 1888 = LCM of 1888 and 1880

Related Least Common Multiples of 1880

Related Least Common Multiples of 1888

Frequently Asked Questions on LCM of 1880 and 1888

1. What is the LCM of 1880 and 1888?

Answer: LCM of 1880 and 1888 is 443680.

2. What are the Factors of 1880?

Answer: Factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880. There are 16 integers that are factors of 1880. The greatest factor of 1880 is 1880.

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 1880 and 1888?

Answer:

Least Common Multiple of 1880 and 1888 = 443680

Step 1: Find the prime factorization of 1880

1880 = 2 x 2 x 2 x 5 x 47

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 = 443680 = 2 x 2 x 2 x 2 x 2 x 5 x 47 x 59

Step 4: Therefore, the least common multiple of 1880 and 1888 is 443680.