Least Common Multiple of 1874 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 1874 and 1879 the smallest integer that is 3521246 that is divisible by both numbers.

Least Common Multiple (LCM) of 1874 and 1879 is 3521246.

LCM(1874,1879) = 3521246

LCM of 1874 and 1879

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

LCM of:
and

Least Common Multiple of 1874 and 1879

LCM of 1874 and 1879 is 3521246

Least common multiple can be found by multiplying the highest exponent prime factors of 1874 and 1879. First we will calculate the prime factors of 1874 and 1879.

Prime Factorization of 1874


2 1874
937 937
1

Prime factors of 1874 are 2,937. Prime factorization of 1874 in exponential form is:

1874 = 21×9371

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 1874 and 1879.

LCM(1874,1879) = 21×9371×18791
LCM(1874,1879) = 3521246

Factors of 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1, 2, 937, 1874

Factors of 1879

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

1, 1879

Least Common Multiple of 1874 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 1874 and 1879, than apply into the LCM equation.

GCF(1874,1879) = 1
LCM(1874,1879) = ( 1874 × 1879) / 1
LCM(1874,1879) = 3521246 / 1
LCM(1874,1879) = 3521246

Properties of LCM 1874 and 1879

(i) The LCM of 1879 and 1874 is associative

LCM of 1874 and 1879 = LCM of 1879 and 1874

Related Least Common Multiples of 1874

Related Least Common Multiples of 1879

Frequently Asked Questions on LCM of 1874 and 1879

1. What is the LCM of 1874 and 1879?

Answer: LCM of 1874 and 1879 is 3521246.

2. What are the Factors of 1874?

Answer: Factors of 1874 are 1, 2, 937, 1874. There are 4 integers that are factors of 1874. The greatest factor of 1874 is 1874.

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 1874 and 1879?

Answer:

Least Common Multiple of 1874 and 1879 = 3521246

Step 1: Find the prime factorization of 1874

1874 = 2 x 937

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 = 3521246 = 2 x 937 x 1879

Step 4: Therefore, the least common multiple of 1874 and 1879 is 3521246.