Least Common Multiple of 145 and 152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 145 and 152 the smallest integer that is 22040 that is divisible by both numbers.

Least Common Multiple (LCM) of 145 and 152 is 22040.

LCM(145,152) = 22040

LCM of 145 and 152

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

LCM of:
and

Least Common Multiple of 145 and 152

LCM of 145 and 152 is 22040

Least common multiple can be found by multiplying the highest exponent prime factors of 145 and 152. First we will calculate the prime factors of 145 and 152.

Prime Factorization of 145


5 145
29 29
1

Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:

145 = 51×291

Prime Factorization of 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

Now multiplying the highest exponent prime factors to calculate the LCM of 145 and 152.

LCM(145,152) = 23×51×191×291
LCM(145,152) = 22040

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Least Common Multiple of 145 and 152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 145 and 152, than apply into the LCM equation.

GCF(145,152) = 1
LCM(145,152) = ( 145 × 152) / 1
LCM(145,152) = 22040 / 1
LCM(145,152) = 22040

Properties of LCM 145 and 152

(i) The LCM of 152 and 145 is associative

LCM of 145 and 152 = LCM of 152 and 145

Related Least Common Multiples of 145

Related Least Common Multiples of 152

Frequently Asked Questions on LCM of 145 and 152

1. What is the LCM of 145 and 152?

Answer: LCM of 145 and 152 is 22040.

2. What are the Factors of 145?

Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.

3. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

4. How to Find the LCM of 145 and 152?

Answer:

Least Common Multiple of 145 and 152 = 22040

Step 1: Find the prime factorization of 145

145 = 5 x 29

Step 2: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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

LCM = 22040 = 2 x 2 x 2 x 5 x 19 x 29

Step 4: Therefore, the least common multiple of 145 and 152 is 22040.