Least Common Multiple of 934 and 942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 934 and 942 the smallest integer that is 439914 that is divisible by both numbers.

Least Common Multiple (LCM) of 934 and 942 is 439914.

LCM(934,942) = 439914

LCM of 934 and 942

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

LCM of:
and

Least Common Multiple of 934 and 942

LCM of 934 and 942 is 439914

Least common multiple can be found by multiplying the highest exponent prime factors of 934 and 942. First we will calculate the prime factors of 934 and 942.

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

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 934 and 942.

LCM(934,942) = 21×31×1571×4671
LCM(934,942) = 439914

Factors of 934

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

1, 2, 467, 934

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Least Common Multiple of 934 and 942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 934 and 942, than apply into the LCM equation.

GCF(934,942) = 2
LCM(934,942) = ( 934 × 942) / 2
LCM(934,942) = 879828 / 2
LCM(934,942) = 439914

Properties of LCM 934 and 942

(i) The LCM of 942 and 934 is associative

LCM of 934 and 942 = LCM of 942 and 934

Related Least Common Multiples of 934

Related Least Common Multiples of 942

Frequently Asked Questions on LCM of 934 and 942

1. What is the LCM of 934 and 942?

Answer: LCM of 934 and 942 is 439914.

2. 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.

3. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

4. How to Find the LCM of 934 and 942?

Answer:

Least Common Multiple of 934 and 942 = 439914

Step 1: Find the prime factorization of 934

934 = 2 x 467

Step 2: Find the prime factorization of 942

942 = 2 x 3 x 157

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

LCM = 439914 = 2 x 3 x 157 x 467

Step 4: Therefore, the least common multiple of 934 and 942 is 439914.