Least Common Multiple of 1876 and 1879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1876 and 1879 the smallest integer that is 3525004 that is divisible by both numbers.

Least Common Multiple (LCM) of 1876 and 1879 is 3525004.

LCM(1876,1879) = 3525004

LCM of 1876 and 1879

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

LCM of:
and

Least Common Multiple of 1876 and 1879

LCM of 1876 and 1879 is 3525004

Least common multiple can be found by multiplying the highest exponent prime factors of 1876 and 1879. First we will calculate the prime factors of 1876 and 1879.

Prime Factorization of 1876


2 1876
2 938
7 469
67 67
1

Prime factors of 1876 are 2, 7,67. Prime factorization of 1876 in exponential form is:

1876 = 22×71×671

Prime Factorization of 1879


1879 1879
1

Prime factors of 1879 are 1879. Prime factorization of 1879 in exponential form is:

1879 = 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 1876 and 1879.

LCM(1876,1879) = 22×71×671×18791
LCM(1876,1879) = 3525004

Factors of 1876

List of positive integer factors of 1876 that divides 1876 without a remainder.

1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876

Factors of 1879

List of positive integer factors of 1879 that divides 1879 without a remainder.

1, 1879

Least Common Multiple of 1876 and 1879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1876 and 1879, than apply into the LCM equation.

GCF(1876,1879) = 1
LCM(1876,1879) = ( 1876 × 1879) / 1
LCM(1876,1879) = 3525004 / 1
LCM(1876,1879) = 3525004

Properties of LCM 1876 and 1879

(i) The LCM of 1879 and 1876 is associative

LCM of 1876 and 1879 = LCM of 1879 and 1876

Related Least Common Multiples of 1876

Related Least Common Multiples of 1879

Frequently Asked Questions on LCM of 1876 and 1879

1. What is the LCM of 1876 and 1879?

Answer: LCM of 1876 and 1879 is 3525004.

2. What are the Factors of 1876?

Answer: Factors of 1876 are 1, 2, 4, 7, 14, 28, 67, 134, 268, 469, 938, 1876. There are 12 integers that are factors of 1876. The greatest factor of 1876 is 1876.

3. What are the Factors of 1879?

Answer: Factors of 1879 are 1, 1879. There are 2 integers that are factors of 1879. The greatest factor of 1879 is 1879.

4. How to Find the LCM of 1876 and 1879?

Answer:

Least Common Multiple of 1876 and 1879 = 3525004

Step 1: Find the prime factorization of 1876

1876 = 2 x 2 x 7 x 67

Step 2: Find the prime factorization of 1879

1879 = 1879

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

LCM = 3525004 = 2 x 2 x 7 x 67 x 1879

Step 4: Therefore, the least common multiple of 1876 and 1879 is 3525004.