LCM for 126 and 140

What's the Least Common Multiple (LCM) of 126 and 140?

Answer: LCM of 126 and 140 is 1,260

(One thousand, two hundred sixty)

Finding LCM for 126 and 140 using GCF's of these numbers

The first method to find LCM for numbers 126 and 140 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 126 and 140 is 14, so

LCM = (126 × 140) ÷ 14

LCM = 17640 ÷ 14

LCM = 1260

Finding LCM for 126 and 140 by Listing Multiples

The second method to find LCM for numbers 126 and 140 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

Multiples of 140: 140, 280, 420, 560, 700, 840, 980, 1120, 1260, 1400, 1540

So the LCM for 126 and 140 is 1260

Finding LCM for 126 and 140 by Prime Factorization

Another method to find LCM for numbers 126 and 140 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 140: 2, 2, 5, 7 (exponent form: 22, 51, 71)

22 × 32 × 71 × 51 = 1260

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 140? (The answer is: 1260). Select the first number (e.g. '126') and the second number (e.g. '140'). 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
11114015540
112140560
11314015820
1141407980
1151403220
1161404060
11714016380
1181408260
1191402380
120140840
12114016940
1221408540
12314017220
1241404340
1251403500
126140
12714017780
1281404480
12914018060
1301401820
13114018340
1321404620
1331402660
1341409380
1351403780
1361404760
13714019180
1381409660
13914019460
140140140

FAQ

What's the Least Common Multiple (LCM) of 126 and 140?

LCM of 126 and 140 is 1,260