Least Common Multiple of 4932 and 4938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4932 and 4938 the smallest integer that is 4059036 that is divisible by both numbers.

Least Common Multiple (LCM) of 4932 and 4938 is 4059036.

LCM(4932,4938) = 4059036

LCM of 4932 and 4938

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

LCM of:
and

Least Common Multiple of 4932 and 4938

LCM of 4932 and 4938 is 4059036

Least common multiple can be found by multiplying the highest exponent prime factors of 4932 and 4938. First we will calculate the prime factors of 4932 and 4938.

Prime Factorization of 4932


2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 4932 are 2, 3,137. Prime factorization of 4932 in exponential form is:

4932 = 22×32×1371

Prime Factorization of 4938


2 4938
3 2469
823 823
1

Prime factors of 4938 are 2, 3,823. Prime factorization of 4938 in exponential form is:

4938 = 21×31×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 4932 and 4938.

LCM(4932,4938) = 22×32×1371×8231
LCM(4932,4938) = 4059036

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1, 2, 3, 6, 823, 1646, 2469, 4938

Least Common Multiple of 4932 and 4938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4932 and 4938, than apply into the LCM equation.

GCF(4932,4938) = 6
LCM(4932,4938) = ( 4932 × 4938) / 6
LCM(4932,4938) = 24354216 / 6
LCM(4932,4938) = 4059036

Properties of LCM 4932 and 4938

(i) The LCM of 4938 and 4932 is associative

LCM of 4932 and 4938 = LCM of 4938 and 4932

Related Least Common Multiples of 4932

Related Least Common Multiples of 4938

Frequently Asked Questions on LCM of 4932 and 4938

1. What is the LCM of 4932 and 4938?

Answer: LCM of 4932 and 4938 is 4059036.

2. What are the Factors of 4932?

Answer: Factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. There are 18 integers that are factors of 4932. The greatest factor of 4932 is 4932.

3. What are the Factors of 4938?

Answer: Factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938. There are 8 integers that are factors of 4938. The greatest factor of 4938 is 4938.

4. How to Find the LCM of 4932 and 4938?

Answer:

Least Common Multiple of 4932 and 4938 = 4059036

Step 1: Find the prime factorization of 4932

4932 = 2 x 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 4938

4938 = 2 x 3 x 823

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

LCM = 4059036 = 2 x 2 x 3 x 3 x 137 x 823

Step 4: Therefore, the least common multiple of 4932 and 4938 is 4059036.