LCM for 189 and 270

What's the Least Common Multiple (LCM) of 189 and 270?

Answer: LCM of 189 and 270 is 1,890

(One thousand, eight hundred ninety)

Finding LCM for 189 and 270 using GCF's of these numbers

The first method to find LCM for numbers 189 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 189 and 270 is 27, so

LCM = (189 × 270) ÷ 27

LCM = 51030 ÷ 27

LCM = 1890

Finding LCM for 189 and 270 by Listing Multiples

The second method to find LCM for numbers 189 and 270 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 189: 189, 378, 567, 756, 945, 1134, 1323, 1512, 1701, 1890, 2079, 2268

Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430

So the LCM for 189 and 270 is 1890

Finding LCM for 189 and 270 by Prime Factorization

Another method to find LCM for numbers 189 and 270 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 189: 3, 3, 3, 7 (exponent form: 33, 71)

All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

33 × 71 × 21 × 51 = 1890

LCM Table

Number 1Number 2LCM
1742707830
1752709450
17627023760
17727015930
17827024030
17927048330
180270
18127048870
18227024570
18327016470
18427024840
1852709990
1862708370
18727050490
18827025380
1892701890
1902705130
19127051570
1922708640
19327052110
19427026190
1952703510
19627026460
19727053190
1982702970
19927053730
2002705400
20127018090
20227027270
20327054810

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 189 and 270? (The answer is: 1890). Select the first number (e.g. '189') and the second number (e.g. '270'). 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 189 and 270?

LCM of 189 and 270 is 1,890