LCM for 120 and 165

What's the Least Common Multiple (LCM) of 120 and 165?

Answer: LCM of 120 and 165 is 1,320

(One thousand, three hundred twenty)

Finding LCM for 120 and 165 using GCF's of these numbers

The first method to find LCM for numbers 120 and 165 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 165 is 15, so

LCM = (120 × 165) ÷ 15

LCM = 19800 ÷ 15

LCM = 1320

Finding LCM for 120 and 165 by Listing Multiples

The second method to find LCM for numbers 120 and 165 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560

Multiples of 165: 165, 330, 495, 660, 825, 990, 1155, 1320, 1485, 1650

So the LCM for 120 and 165 is 1320

Finding LCM for 120 and 165 by Prime Factorization

Another method to find LCM for numbers 120 and 165 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

All Prime Factors of 165: 3, 5, 11 (exponent form: 31, 51, 111)

23 × 31 × 51 × 111 = 1320

LCM Table

Number 1Number 2LCM
1051651155
10616517490
10716517655
1081655940
10916517985
110165330
1111656105
11216518480
11316518645
1141656270
1151653795
11616519140
1171656435
11816519470
11916519635
1201651320
1211651815
12216520130
1231656765
12416520460
1251654125
1261656930
12716520955
12816521120
1291657095
1301654290
13116521615
132165660
13316521945
13416522110

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 120 and 165? (The answer is: 1320). Select the first number (e.g. '120') and the second number (e.g. '165'). 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

FAQ

What's the Least Common Multiple (LCM) of 120 and 165?

LCM of 120 and 165 is 1,320