LCM for 18 and 162

What's the Least Common Multiple (LCM) of 18 and 162?

Answer: LCM of 18 and 162 is 162

(One hundred sixty-two)

Finding LCM for 18 and 162 using GCF's of these numbers

The first method to find LCM for numbers 18 and 162 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 162 is 18, so

LCM = (18 × 162) ÷ 18

LCM = 2916 ÷ 18

LCM = 162

Finding LCM for 18 and 162 by Listing Multiples

The second method to find LCM for numbers 18 and 162 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198

Multiples of 162: 162, 324, 486, 648, 810, 972, 1134, 1296, 1458, 1620, 1782, [...], 162

So the LCM for 18 and 162 is 162

Finding LCM for 18 and 162 by Prime Factorization

Another method to find LCM for numbers 18 and 162 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 162: 2, 3, 3, 3, 3 (exponent form: 21, 34)

21 × 34 = 162

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 18 and 162? (The answer is: 162). Select the first number (e.g. '18') and the second number (e.g. '162'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

LCM Table

Number 1Number 2LCM
3162162
4162324
5162810
6162162
71621134
8162648
9162162
10162810
111621782
12162
131622106
141621134
15162810
161621296
171622754
18162
191623078
201621620
211621134
221621782
231623726
24162648
251624050
261622106
27162162
281622268
291624698
30162810
311625022
321622592

FAQ

What's the Least Common Multiple (LCM) of 18 and 162?

LCM of 18 and 162 is 162