Least Common Multiple of 148 and 149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 148 and 149 the smallest integer that is 22052 that is divisible by both numbers.

Least Common Multiple (LCM) of 148 and 149 is 22052.

LCM(148,149) = 22052

LCM of 148 and 149

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

LCM of:
and

Least Common Multiple of 148 and 149

LCM of 148 and 149 is 22052

Least common multiple can be found by multiplying the highest exponent prime factors of 148 and 149. First we will calculate the prime factors of 148 and 149.

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

Prime Factorization of 149


149 149
1

Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:

149 = 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 148 and 149.

LCM(148,149) = 22×371×1491
LCM(148,149) = 22052

Factors of 148

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

1, 2, 4, 37, 74, 148

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1, 149

Least Common Multiple of 148 and 149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 148 and 149, than apply into the LCM equation.

GCF(148,149) = 1
LCM(148,149) = ( 148 × 149) / 1
LCM(148,149) = 22052 / 1
LCM(148,149) = 22052

Properties of LCM 148 and 149

(i) The LCM of 149 and 148 is associative

LCM of 148 and 149 = LCM of 149 and 148

Related Least Common Multiples of 148

Related Least Common Multiples of 149

Frequently Asked Questions on LCM of 148 and 149

1. What is the LCM of 148 and 149?

Answer: LCM of 148 and 149 is 22052.

2. 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.

3. What are the Factors of 149?

Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.

4. How to Find the LCM of 148 and 149?

Answer:

Least Common Multiple of 148 and 149 = 22052

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

Step 2: Find the prime factorization of 149

149 = 149

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

LCM = 22052 = 2 x 2 x 37 x 149

Step 4: Therefore, the least common multiple of 148 and 149 is 22052.