Least Common Multiple of 920 and 921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 920 and 921 the smallest integer that is 847320 that is divisible by both numbers.

Least Common Multiple (LCM) of 920 and 921 is 847320.

LCM(920,921) = 847320

LCM of 920 and 921

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

LCM of:
and

Least Common Multiple of 920 and 921

LCM of 920 and 921 is 847320

Least common multiple can be found by multiplying the highest exponent prime factors of 920 and 921. First we will calculate the prime factors of 920 and 921.

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

Prime Factorization of 921


3 921
307 307
1

Prime factors of 921 are 3,307. Prime factorization of 921 in exponential form is:

921 = 31×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 920 and 921.

LCM(920,921) = 23×31×51×231×3071
LCM(920,921) = 847320

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Least Common Multiple of 920 and 921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 920 and 921, than apply into the LCM equation.

GCF(920,921) = 1
LCM(920,921) = ( 920 × 921) / 1
LCM(920,921) = 847320 / 1
LCM(920,921) = 847320

Properties of LCM 920 and 921

(i) The LCM of 921 and 920 is associative

LCM of 920 and 921 = LCM of 921 and 920

Related Least Common Multiples of 920

Related Least Common Multiples of 921

Frequently Asked Questions on LCM of 920 and 921

1. What is the LCM of 920 and 921?

Answer: LCM of 920 and 921 is 847320.

2. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

3. What are the Factors of 921?

Answer: Factors of 921 are 1, 3, 307, 921. There are 4 integers that are factors of 921. The greatest factor of 921 is 921.

4. How to Find the LCM of 920 and 921?

Answer:

Least Common Multiple of 920 and 921 = 847320

Step 1: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 921

921 = 3 x 307

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

LCM = 847320 = 2 x 2 x 2 x 3 x 5 x 23 x 307

Step 4: Therefore, the least common multiple of 920 and 921 is 847320.