Least Common Multiple of 7894 and 7901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7894 and 7901 the smallest integer that is 62370494 that is divisible by both numbers.

Least Common Multiple (LCM) of 7894 and 7901 is 62370494.

LCM(7894,7901) = 62370494

LCM of 7894 and 7901

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

LCM of:
and

Least Common Multiple of 7894 and 7901

LCM of 7894 and 7901 is 62370494

Least common multiple can be found by multiplying the highest exponent prime factors of 7894 and 7901. First we will calculate the prime factors of 7894 and 7901.

Prime Factorization of 7894


2 7894
3947 3947
1

Prime factors of 7894 are 2,3947. Prime factorization of 7894 in exponential form is:

7894 = 21×39471

Prime Factorization of 7901


7901 7901
1

Prime factors of 7901 are 7901. Prime factorization of 7901 in exponential form is:

7901 = 79011

Now multiplying the highest exponent prime factors to calculate the LCM of 7894 and 7901.

LCM(7894,7901) = 21×39471×79011
LCM(7894,7901) = 62370494

Factors of 7894

List of positive integer factors of 7894 that divides 7894 without a remainder.

1, 2, 3947, 7894

Factors of 7901

List of positive integer factors of 7901 that divides 7901 without a remainder.

1, 7901

Least Common Multiple of 7894 and 7901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7894 and 7901, than apply into the LCM equation.

GCF(7894,7901) = 1
LCM(7894,7901) = ( 7894 × 7901) / 1
LCM(7894,7901) = 62370494 / 1
LCM(7894,7901) = 62370494

Properties of LCM 7894 and 7901

(i) The LCM of 7901 and 7894 is associative

LCM of 7894 and 7901 = LCM of 7901 and 7894

Related Least Common Multiples of 7894

Related Least Common Multiples of 7901

Frequently Asked Questions on LCM of 7894 and 7901

1. What is the LCM of 7894 and 7901?

Answer: LCM of 7894 and 7901 is 62370494.

2. What are the Factors of 7894?

Answer: Factors of 7894 are 1, 2, 3947, 7894. There are 4 integers that are factors of 7894. The greatest factor of 7894 is 7894.

3. What are the Factors of 7901?

Answer: Factors of 7901 are 1, 7901. There are 2 integers that are factors of 7901. The greatest factor of 7901 is 7901.

4. How to Find the LCM of 7894 and 7901?

Answer:

Least Common Multiple of 7894 and 7901 = 62370494

Step 1: Find the prime factorization of 7894

7894 = 2 x 3947

Step 2: Find the prime factorization of 7901

7901 = 7901

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

LCM = 62370494 = 2 x 3947 x 7901

Step 4: Therefore, the least common multiple of 7894 and 7901 is 62370494.