Least Common Multiple of 929 and 930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 929 and 930 the smallest integer that is 863970 that is divisible by both numbers.

Least Common Multiple (LCM) of 929 and 930 is 863970.

LCM(929,930) = 863970

LCM of 929 and 930

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

LCM of:
and

Least Common Multiple of 929 and 930

LCM of 929 and 930 is 863970

Least common multiple can be found by multiplying the highest exponent prime factors of 929 and 930. First we will calculate the prime factors of 929 and 930.

Prime Factorization of 929


929 929
1

Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:

929 = 9291

Prime Factorization of 930


2 930
3 465
5 155
31 31
1

Prime factors of 930 are 2, 3, 5,31. Prime factorization of 930 in exponential form is:

930 = 21×31×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 929 and 930.

LCM(929,930) = 21×31×51×311×9291
LCM(929,930) = 863970

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1, 929

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Least Common Multiple of 929 and 930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 929 and 930, than apply into the LCM equation.

GCF(929,930) = 1
LCM(929,930) = ( 929 × 930) / 1
LCM(929,930) = 863970 / 1
LCM(929,930) = 863970

Properties of LCM 929 and 930

(i) The LCM of 930 and 929 is associative

LCM of 929 and 930 = LCM of 930 and 929

Related Least Common Multiples of 929

Related Least Common Multiples of 930

Frequently Asked Questions on LCM of 929 and 930

1. What is the LCM of 929 and 930?

Answer: LCM of 929 and 930 is 863970.

2. What are the Factors of 929?

Answer: Factors of 929 are 1, 929. There are 2 integers that are factors of 929. The greatest factor of 929 is 929.

3. What are the Factors of 930?

Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.

4. How to Find the LCM of 929 and 930?

Answer:

Least Common Multiple of 929 and 930 = 863970

Step 1: Find the prime factorization of 929

929 = 929

Step 2: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

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

LCM = 863970 = 2 x 3 x 5 x 31 x 929

Step 4: Therefore, the least common multiple of 929 and 930 is 863970.