Least Common Multiple of 937 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 937 and 938 the smallest integer that is 878906 that is divisible by both numbers.

Least Common Multiple (LCM) of 937 and 938 is 878906.

LCM(937,938) = 878906

LCM of 937 and 938

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

LCM of:
and

Least Common Multiple of 937 and 938

LCM of 937 and 938 is 878906

Least common multiple can be found by multiplying the highest exponent prime factors of 937 and 938. First we will calculate the prime factors of 937 and 938.

Prime Factorization of 937


937 937
1

Prime factors of 937 are 937. Prime factorization of 937 in exponential form is:

937 = 9371

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 937 and 938.

LCM(937,938) = 21×71×671×9371
LCM(937,938) = 878906

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1, 937

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 937 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 937 and 938, than apply into the LCM equation.

GCF(937,938) = 1
LCM(937,938) = ( 937 × 938) / 1
LCM(937,938) = 878906 / 1
LCM(937,938) = 878906

Properties of LCM 937 and 938

(i) The LCM of 938 and 937 is associative

LCM of 937 and 938 = LCM of 938 and 937

Related Least Common Multiples of 937

Related Least Common Multiples of 938

Frequently Asked Questions on LCM of 937 and 938

1. What is the LCM of 937 and 938?

Answer: LCM of 937 and 938 is 878906.

2. What are the Factors of 937?

Answer: Factors of 937 are 1, 937. There are 2 integers that are factors of 937. The greatest factor of 937 is 937.

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 937 and 938?

Answer:

Least Common Multiple of 937 and 938 = 878906

Step 1: Find the prime factorization of 937

937 = 937

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 = 878906 = 2 x 7 x 67 x 937

Step 4: Therefore, the least common multiple of 937 and 938 is 878906.