Least Common Multiple of 145 and 151

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 151 the smallest integer that is 21895 that is divisible by both numbers.

Least Common Multiple (LCM) of 145 and 151 is 21895.

LCM(145,151) = 21895

LCM of 145 and 151

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

LCM of:
and

Least Common Multiple of 145 and 151

LCM of 145 and 151 is 21895

Least common multiple can be found by multiplying the highest exponent prime factors of 145 and 151. First we will calculate the prime factors of 145 and 151.

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 151


151 151
1

Prime factors of 151 are 151. Prime factorization of 151 in exponential form is:

151 = 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 145 and 151.

LCM(145,151) = 51×291×1511
LCM(145,151) = 21895

Factors of 145

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

1, 5, 29, 145

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1, 151

Least Common Multiple of 145 and 151 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 151, than apply into the LCM equation.

GCF(145,151) = 1
LCM(145,151) = ( 145 × 151) / 1
LCM(145,151) = 21895 / 1
LCM(145,151) = 21895

Properties of LCM 145 and 151

(i) The LCM of 151 and 145 is associative

LCM of 145 and 151 = LCM of 151 and 145

Related Least Common Multiples of 145

Related Least Common Multiples of 151

Frequently Asked Questions on LCM of 145 and 151

1. What is the LCM of 145 and 151?

Answer: LCM of 145 and 151 is 21895.

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 151?

Answer: Factors of 151 are 1, 151. There are 2 integers that are factors of 151. The greatest factor of 151 is 151.

4. How to Find the LCM of 145 and 151?

Answer:

Least Common Multiple of 145 and 151 = 21895

Step 1: Find the prime factorization of 145

145 = 5 x 29

Step 2: Find the prime factorization of 151

151 = 151

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

LCM = 21895 = 5 x 29 x 151

Step 4: Therefore, the least common multiple of 145 and 151 is 21895.