Least Common Multiple of 938 and 945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 938 and 945 the smallest integer that is 126630 that is divisible by both numbers.

Least Common Multiple (LCM) of 938 and 945 is 126630.

LCM(938,945) = 126630

LCM of 938 and 945

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

LCM of:
and

Least Common Multiple of 938 and 945

LCM of 938 and 945 is 126630

Least common multiple can be found by multiplying the highest exponent prime factors of 938 and 945. First we will calculate the prime factors of 938 and 945.

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

Prime Factorization of 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3, 5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 938 and 945.

LCM(938,945) = 21×33×51×71×671
LCM(938,945) = 126630

Factors of 938

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

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

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Least Common Multiple of 938 and 945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 938 and 945, than apply into the LCM equation.

GCF(938,945) = 7
LCM(938,945) = ( 938 × 945) / 7
LCM(938,945) = 886410 / 7
LCM(938,945) = 126630

Properties of LCM 938 and 945

(i) The LCM of 945 and 938 is associative

LCM of 938 and 945 = LCM of 945 and 938

Related Least Common Multiples of 938

Related Least Common Multiples of 945

Frequently Asked Questions on LCM of 938 and 945

1. What is the LCM of 938 and 945?

Answer: LCM of 938 and 945 is 126630.

2. 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.

3. What are the Factors of 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

4. How to Find the LCM of 938 and 945?

Answer:

Least Common Multiple of 938 and 945 = 126630

Step 1: Find the prime factorization of 938

938 = 2 x 7 x 67

Step 2: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

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

LCM = 126630 = 2 x 3 x 3 x 3 x 5 x 7 x 67

Step 4: Therefore, the least common multiple of 938 and 945 is 126630.