LCM for 180 and 216

What's the Least Common Multiple (LCM) of 180 and 216?

Answer: LCM of 180 and 216 is 1,080

(One thousand, eighty)

Finding LCM for 180 and 216 using GCF's of these numbers

The first method to find LCM for numbers 180 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 216 is 36, so

LCM = (180 × 216) ÷ 36

LCM = 38880 ÷ 36

LCM = 1080

Finding LCM for 180 and 216 by Listing Multiples

The second method to find LCM for numbers 180 and 216 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440

Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512

So the LCM for 180 and 216 is 1080

Finding LCM for 180 and 216 by Prime Factorization

Another method to find LCM for numbers 180 and 216 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

All Prime Factors of 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)

23 × 33 × 51 = 1080

LCM Table

Number 1Number 2LCM
16521611880
16621617928
16721636072
1682161512
16921636504
17021618360
1712164104
1722169288
17321637368
1742166264
17521637800
1762164752
17721612744
17821619224
17921638664
180216
18121639096
18221619656
18321613176
1842164968
18521639960
1862166696
18721640392
18821610152
1892161512
19021620520
19121641256
1922161728
19321641688
19421620952

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 180 and 216? (The answer is: 1080). Select the first number (e.g. '180') and the second number (e.g. '216'). 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 180 and 216?

LCM of 180 and 216 is 1,080