Least Common Multiple of 930 and 938

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 938 the smallest integer that is 436170 that is divisible by both numbers.

Least Common Multiple (LCM) of 930 and 938 is 436170.

LCM(930,938) = 436170

LCM of 930 and 938

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

LCM of:
and

Least Common Multiple of 930 and 938

LCM of 930 and 938 is 436170

Least common multiple can be found by multiplying the highest exponent prime factors of 930 and 938. First we will calculate the prime factors of 930 and 938.

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 938


2 938
7 469
67 67
1

Prime factors of 938 are 2, 7,67. Prime factorization of 938 in exponential form is:

938 = 21×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 930 and 938.

LCM(930,938) = 21×31×51×71×311×671
LCM(930,938) = 436170

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 938

List of positive integer factors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Least Common Multiple of 930 and 938 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 938, than apply into the LCM equation.

GCF(930,938) = 2
LCM(930,938) = ( 930 × 938) / 2
LCM(930,938) = 872340 / 2
LCM(930,938) = 436170

Properties of LCM 930 and 938

(i) The LCM of 938 and 930 is associative

LCM of 930 and 938 = LCM of 938 and 930

Related Least Common Multiples of 930

Related Least Common Multiples of 938

Frequently Asked Questions on LCM of 930 and 938

1. What is the LCM of 930 and 938?

Answer: LCM of 930 and 938 is 436170.

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 938?

Answer: Factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938. There are 8 integers that are factors of 938. The greatest factor of 938 is 938.

4. How to Find the LCM of 930 and 938?

Answer:

Least Common Multiple of 930 and 938 = 436170

Step 1: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 938

938 = 2 x 7 x 67

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

LCM = 436170 = 2 x 3 x 5 x 7 x 31 x 67

Step 4: Therefore, the least common multiple of 930 and 938 is 436170.