Least Common Multiple of 4052 and 4054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4052 and 4054 the smallest integer that is 8213404 that is divisible by both numbers.

Least Common Multiple (LCM) of 4052 and 4054 is 8213404.

LCM(4052,4054) = 8213404

LCM of 4052 and 4054

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

LCM of:
and

Least Common Multiple of 4052 and 4054

LCM of 4052 and 4054 is 8213404

Least common multiple can be found by multiplying the highest exponent prime factors of 4052 and 4054. First we will calculate the prime factors of 4052 and 4054.

Prime Factorization of 4052


2 4052
2 2026
1013 1013
1

Prime factors of 4052 are 2,1013. Prime factorization of 4052 in exponential form is:

4052 = 22×10131

Prime Factorization of 4054


2 4054
2027 2027
1

Prime factors of 4054 are 2,2027. Prime factorization of 4054 in exponential form is:

4054 = 21×20271

Now multiplying the highest exponent prime factors to calculate the LCM of 4052 and 4054.

LCM(4052,4054) = 22×10131×20271
LCM(4052,4054) = 8213404

Factors of 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1, 2, 4, 1013, 2026, 4052

Factors of 4054

List of positive integer factors of 4054 that divides 4054 without a remainder.

1, 2, 2027, 4054

Least Common Multiple of 4052 and 4054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4052 and 4054, than apply into the LCM equation.

GCF(4052,4054) = 2
LCM(4052,4054) = ( 4052 × 4054) / 2
LCM(4052,4054) = 16426808 / 2
LCM(4052,4054) = 8213404

Properties of LCM 4052 and 4054

(i) The LCM of 4054 and 4052 is associative

LCM of 4052 and 4054 = LCM of 4054 and 4052

Related Least Common Multiples of 4052

Related Least Common Multiples of 4054

Frequently Asked Questions on LCM of 4052 and 4054

1. What is the LCM of 4052 and 4054?

Answer: LCM of 4052 and 4054 is 8213404.

2. What are the Factors of 4052?

Answer: Factors of 4052 are 1, 2, 4, 1013, 2026, 4052. There are 6 integers that are factors of 4052. The greatest factor of 4052 is 4052.

3. What are the Factors of 4054?

Answer: Factors of 4054 are 1, 2, 2027, 4054. There are 4 integers that are factors of 4054. The greatest factor of 4054 is 4054.

4. How to Find the LCM of 4052 and 4054?

Answer:

Least Common Multiple of 4052 and 4054 = 8213404

Step 1: Find the prime factorization of 4052

4052 = 2 x 2 x 1013

Step 2: Find the prime factorization of 4054

4054 = 2 x 2027

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

LCM = 8213404 = 2 x 2 x 1013 x 2027

Step 4: Therefore, the least common multiple of 4052 and 4054 is 8213404.