Least Common Multiple of 40152 and 40155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40152 and 40155 the smallest integer that is 537434520 that is divisible by both numbers.

Least Common Multiple (LCM) of 40152 and 40155 is 537434520.

LCM(40152,40155) = 537434520

LCM of 40152 and 40155

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

LCM of:
and

Least Common Multiple of 40152 and 40155

LCM of 40152 and 40155 is 537434520

Least common multiple can be found by multiplying the highest exponent prime factors of 40152 and 40155. First we will calculate the prime factors of 40152 and 40155.

Prime Factorization of 40152


2 40152
2 20076
2 10038
3 5019
7 1673
239 239
1

Prime factors of 40152 are 2, 3, 7,239. Prime factorization of 40152 in exponential form is:

40152 = 23×31×71×2391

Prime Factorization of 40155


3 40155
5 13385
2677 2677
1

Prime factors of 40155 are 3, 5,2677. Prime factorization of 40155 in exponential form is:

40155 = 31×51×26771

Now multiplying the highest exponent prime factors to calculate the LCM of 40152 and 40155.

LCM(40152,40155) = 23×31×51×71×2391×26771
LCM(40152,40155) = 537434520

Factors of 40152

List of positive integer factors of 40152 that divides 40152 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 239, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 5019, 5736, 6692, 10038, 13384, 20076, 40152

Factors of 40155

List of positive integer factors of 40155 that divides 40155 without a remainder.

1, 3, 5, 15, 2677, 8031, 13385, 40155

Least Common Multiple of 40152 and 40155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40152 and 40155, than apply into the LCM equation.

GCF(40152,40155) = 3
LCM(40152,40155) = ( 40152 × 40155) / 3
LCM(40152,40155) = 1612303560 / 3
LCM(40152,40155) = 537434520

Properties of LCM 40152 and 40155

(i) The LCM of 40155 and 40152 is associative

LCM of 40152 and 40155 = LCM of 40155 and 40152

Related Least Common Multiples of 40152

Related Least Common Multiples of 40155

Frequently Asked Questions on LCM of 40152 and 40155

1. What is the LCM of 40152 and 40155?

Answer: LCM of 40152 and 40155 is 537434520.

2. What are the Factors of 40152?

Answer: Factors of 40152 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 239, 478, 717, 956, 1434, 1673, 1912, 2868, 3346, 5019, 5736, 6692, 10038, 13384, 20076, 40152. There are 32 integers that are factors of 40152. The greatest factor of 40152 is 40152.

3. What are the Factors of 40155?

Answer: Factors of 40155 are 1, 3, 5, 15, 2677, 8031, 13385, 40155. There are 8 integers that are factors of 40155. The greatest factor of 40155 is 40155.

4. How to Find the LCM of 40152 and 40155?

Answer:

Least Common Multiple of 40152 and 40155 = 537434520

Step 1: Find the prime factorization of 40152

40152 = 2 x 2 x 2 x 3 x 7 x 239

Step 2: Find the prime factorization of 40155

40155 = 3 x 5 x 2677

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

LCM = 537434520 = 2 x 2 x 2 x 3 x 5 x 7 x 239 x 2677

Step 4: Therefore, the least common multiple of 40152 and 40155 is 537434520.