Least Common Multiple of 176 and 177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 176 and 177 the smallest integer that is 31152 that is divisible by both numbers.

Least Common Multiple (LCM) of 176 and 177 is 31152.

LCM(176,177) = 31152

LCM of 176 and 177

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

LCM of:
and

Least Common Multiple of 176 and 177

LCM of 176 and 177 is 31152

Least common multiple can be found by multiplying the highest exponent prime factors of 176 and 177. First we will calculate the prime factors of 176 and 177.

Prime Factorization of 176


2 176
2 88
2 44
2 22
11 11
1

Prime factors of 176 are 2,11. Prime factorization of 176 in exponential form is:

176 = 24×111

Prime Factorization of 177


3 177
59 59
1

Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:

177 = 31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 176 and 177.

LCM(176,177) = 24×31×111×591
LCM(176,177) = 31152

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Least Common Multiple of 176 and 177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 176 and 177, than apply into the LCM equation.

GCF(176,177) = 1
LCM(176,177) = ( 176 × 177) / 1
LCM(176,177) = 31152 / 1
LCM(176,177) = 31152

Properties of LCM 176 and 177

(i) The LCM of 177 and 176 is associative

LCM of 176 and 177 = LCM of 177 and 176

Related Least Common Multiples of 176

Related Least Common Multiples of 177

Frequently Asked Questions on LCM of 176 and 177

1. What is the LCM of 176 and 177?

Answer: LCM of 176 and 177 is 31152.

2. What are the Factors of 176?

Answer: Factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. There are 10 integers that are factors of 176. The greatest factor of 176 is 176.

3. What are the Factors of 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

4. How to Find the LCM of 176 and 177?

Answer:

Least Common Multiple of 176 and 177 = 31152

Step 1: Find the prime factorization of 176

176 = 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 177

177 = 3 x 59

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

LCM = 31152 = 2 x 2 x 2 x 2 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 176 and 177 is 31152.