LCM for 126 and 216

What's the Least Common Multiple (LCM) of 126 and 216?

Answer: LCM of 126 and 216 is 1,512

(One thousand, five hundred twelve)

Finding LCM for 126 and 216 using GCF's of these numbers

The first method to find LCM for numbers 126 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 126 and 216 is 18, so

LCM = (126 × 216) ÷ 18

LCM = 27216 ÷ 18

LCM = 1512

Finding LCM for 126 and 216 by Listing Multiples

The second method to find LCM for numbers 126 and 216 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 126: 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, 1386, 1512, 1638, 1764

Multiples of 216: 216, 432, 648, 864, 1080, 1296, 1512, 1728, 1944

So the LCM for 126 and 216 is 1512

Finding LCM for 126 and 216 by Prime Factorization

Another method to find LCM for numbers 126 and 216 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

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

23 × 33 × 71 = 1512

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 126 and 216? (The answer is: 1512). Select the first number (e.g. '126') 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

LCM Table

Number 1Number 2LCM
1112167992
1122163024
11321624408
1142164104
11521624840
1162166264
1172162808
11821612744
11921625704
1202161080
12121626136
12221613176
1232168856
1242166696
12521627000
126216
12721627432
1282163456
1292169288
13021614040
13121628296
1322162376
13321628728
13421614472
1352161080
1362163672
13721629592
1382164968
13921630024
1402167560

FAQ

What's the Least Common Multiple (LCM) of 126 and 216?

LCM of 126 and 216 is 1,512