Least Common Multiple of 7890 and 7898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7890 and 7898 the smallest integer that is 31157610 that is divisible by both numbers.

Least Common Multiple (LCM) of 7890 and 7898 is 31157610.

LCM(7890,7898) = 31157610

LCM of 7890 and 7898

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

LCM of:
and

Least Common Multiple of 7890 and 7898

LCM of 7890 and 7898 is 31157610

Least common multiple can be found by multiplying the highest exponent prime factors of 7890 and 7898. First we will calculate the prime factors of 7890 and 7898.

Prime Factorization of 7890


2 7890
3 3945
5 1315
263 263
1

Prime factors of 7890 are 2, 3, 5,263. Prime factorization of 7890 in exponential form is:

7890 = 21×31×51×2631

Prime Factorization of 7898


2 7898
11 3949
359 359
1

Prime factors of 7898 are 2, 11,359. Prime factorization of 7898 in exponential form is:

7898 = 21×111×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 7890 and 7898.

LCM(7890,7898) = 21×31×51×111×2631×3591
LCM(7890,7898) = 31157610

Factors of 7890

List of positive integer factors of 7890 that divides 7890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890

Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1, 2, 11, 22, 359, 718, 3949, 7898

Least Common Multiple of 7890 and 7898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7890 and 7898, than apply into the LCM equation.

GCF(7890,7898) = 2
LCM(7890,7898) = ( 7890 × 7898) / 2
LCM(7890,7898) = 62315220 / 2
LCM(7890,7898) = 31157610

Properties of LCM 7890 and 7898

(i) The LCM of 7898 and 7890 is associative

LCM of 7890 and 7898 = LCM of 7898 and 7890

Related Least Common Multiples of 7890

Related Least Common Multiples of 7898

Frequently Asked Questions on LCM of 7890 and 7898

1. What is the LCM of 7890 and 7898?

Answer: LCM of 7890 and 7898 is 31157610.

2. What are the Factors of 7890?

Answer: Factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890. There are 16 integers that are factors of 7890. The greatest factor of 7890 is 7890.

3. What are the Factors of 7898?

Answer: Factors of 7898 are 1, 2, 11, 22, 359, 718, 3949, 7898. There are 8 integers that are factors of 7898. The greatest factor of 7898 is 7898.

4. How to Find the LCM of 7890 and 7898?

Answer:

Least Common Multiple of 7890 and 7898 = 31157610

Step 1: Find the prime factorization of 7890

7890 = 2 x 3 x 5 x 263

Step 2: Find the prime factorization of 7898

7898 = 2 x 11 x 359

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

LCM = 31157610 = 2 x 3 x 5 x 11 x 263 x 359

Step 4: Therefore, the least common multiple of 7890 and 7898 is 31157610.