Least Common Multiple of 8921 and 8922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8921 and 8922 the smallest integer that is 79593162 that is divisible by both numbers.

Least Common Multiple (LCM) of 8921 and 8922 is 79593162.

LCM(8921,8922) = 79593162

LCM of 8921 and 8922

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

LCM of:
and

Least Common Multiple of 8921 and 8922

LCM of 8921 and 8922 is 79593162

Least common multiple can be found by multiplying the highest exponent prime factors of 8921 and 8922. First we will calculate the prime factors of 8921 and 8922.

Prime Factorization of 8921


11 8921
811 811
1

Prime factors of 8921 are 11,811. Prime factorization of 8921 in exponential form is:

8921 = 111×8111

Prime Factorization of 8922


2 8922
3 4461
1487 1487
1

Prime factors of 8922 are 2, 3,1487. Prime factorization of 8922 in exponential form is:

8922 = 21×31×14871

Now multiplying the highest exponent prime factors to calculate the LCM of 8921 and 8922.

LCM(8921,8922) = 21×31×111×8111×14871
LCM(8921,8922) = 79593162

Factors of 8921

List of positive integer factors of 8921 that divides 8921 without a remainder.

1, 11, 811, 8921

Factors of 8922

List of positive integer factors of 8922 that divides 8922 without a remainder.

1, 2, 3, 6, 1487, 2974, 4461, 8922

Least Common Multiple of 8921 and 8922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8921 and 8922, than apply into the LCM equation.

GCF(8921,8922) = 1
LCM(8921,8922) = ( 8921 × 8922) / 1
LCM(8921,8922) = 79593162 / 1
LCM(8921,8922) = 79593162

Properties of LCM 8921 and 8922

(i) The LCM of 8922 and 8921 is associative

LCM of 8921 and 8922 = LCM of 8922 and 8921

Related Least Common Multiples of 8921

Related Least Common Multiples of 8922

Frequently Asked Questions on LCM of 8921 and 8922

1. What is the LCM of 8921 and 8922?

Answer: LCM of 8921 and 8922 is 79593162.

2. What are the Factors of 8921?

Answer: Factors of 8921 are 1, 11, 811, 8921. There are 4 integers that are factors of 8921. The greatest factor of 8921 is 8921.

3. What are the Factors of 8922?

Answer: Factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922. There are 8 integers that are factors of 8922. The greatest factor of 8922 is 8922.

4. How to Find the LCM of 8921 and 8922?

Answer:

Least Common Multiple of 8921 and 8922 = 79593162

Step 1: Find the prime factorization of 8921

8921 = 11 x 811

Step 2: Find the prime factorization of 8922

8922 = 2 x 3 x 1487

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

LCM = 79593162 = 2 x 3 x 11 x 811 x 1487

Step 4: Therefore, the least common multiple of 8921 and 8922 is 79593162.