Least Common Multiple of 930 and 934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 930 and 934 the smallest integer that is 434310 that is divisible by both numbers.

Least Common Multiple (LCM) of 930 and 934 is 434310.

LCM(930,934) = 434310

LCM of 930 and 934

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

LCM of:
and

Least Common Multiple of 930 and 934

LCM of 930 and 934 is 434310

Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 934. First we will calculate the prime factors of 930 and 934.

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

Prime Factorization of 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 930 and 934.

LCM(930,934) = 21×31×51×311×4671
LCM(930,934) = 434310

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

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Least Common Multiple of 930 and 934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 930 and 934, than apply into the LCM equation.

GCF(930,934) = 2
LCM(930,934) = ( 930 × 934) / 2
LCM(930,934) = 868620 / 2
LCM(930,934) = 434310

Properties of LCM 930 and 934

(i) The LCM of 934 and 930 is associative

LCM of 930 and 934 = LCM of 934 and 930

Related Least Common Multiples of 930

Related Least Common Multiples of 934

Frequently Asked Questions on LCM of 930 and 934

1. What is the LCM of 930 and 934?

Answer: LCM of 930 and 934 is 434310.

2. 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.

3. What are the Factors of 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

4. How to Find the LCM of 930 and 934?

Answer:

Least Common Multiple of 930 and 934 = 434310

Step 1: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 934

934 = 2 x 467

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

LCM = 434310 = 2 x 3 x 5 x 31 x 467

Step 4: Therefore, the least common multiple of 930 and 934 is 434310.