Least Common Multiple of 145 and 148

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 148 the smallest integer that is 21460 that is divisible by both numbers.

Least Common Multiple (LCM) of 145 and 148 is 21460.

LCM(145,148) = 21460

LCM of 145 and 148

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

LCM of:
and

Least Common Multiple of 145 and 148

LCM of 145 and 148 is 21460

Least common multiple can be found by multiplying the highest exponent prime factors of 145 and 148. First we will calculate the prime factors of 145 and 148.

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 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

Now multiplying the highest exponent prime factors to calculate the LCM of 145 and 148.

LCM(145,148) = 22×51×291×371
LCM(145,148) = 21460

Factors of 145

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

1, 5, 29, 145

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Least Common Multiple of 145 and 148 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 148, than apply into the LCM equation.

GCF(145,148) = 1
LCM(145,148) = ( 145 × 148) / 1
LCM(145,148) = 21460 / 1
LCM(145,148) = 21460

Properties of LCM 145 and 148

(i) The LCM of 148 and 145 is associative

LCM of 145 and 148 = LCM of 148 and 145

Related Least Common Multiples of 145

Related Least Common Multiples of 148

Frequently Asked Questions on LCM of 145 and 148

1. What is the LCM of 145 and 148?

Answer: LCM of 145 and 148 is 21460.

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 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

4. How to Find the LCM of 145 and 148?

Answer:

Least Common Multiple of 145 and 148 = 21460

Step 1: Find the prime factorization of 145

145 = 5 x 29

Step 2: Find the prime factorization of 148

148 = 2 x 2 x 37

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

LCM = 21460 = 2 x 2 x 5 x 29 x 37

Step 4: Therefore, the least common multiple of 145 and 148 is 21460.