LCM for 120 and 260

What's the Least Common Multiple (LCM) of 120 and 260?

Answer: LCM of 120 and 260 is 1,560

(One thousand, five hundred sixty)

Finding LCM for 120 and 260 using GCF's of these numbers

The first method to find LCM for numbers 120 and 260 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 260 is 20, so

LCM = (120 × 260) ÷ 20

LCM = 31200 ÷ 20

LCM = 1560

Finding LCM for 120 and 260 by Listing Multiples

The second method to find LCM for numbers 120 and 260 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, 1680, 1800

Multiples of 260: 260, 520, 780, 1040, 1300, 1560, 1820, 2080

So the LCM for 120 and 260 is 1560

Finding LCM for 120 and 260 by Prime Factorization

Another method to find LCM for numbers 120 and 260 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 260: 2, 2, 5, 13 (exponent form: 22, 51, 131)

23 × 31 × 51 × 131 = 1560

LCM Table

Number 1Number 2LCM
1052605460
10626013780
10726027820
1082607020
10926028340
1102602860
11126028860
1122607280
11326029380
11426014820
1152605980
1162607540
1172602340
11826015340
11926030940
120260
12126031460
12226015860
12326031980
1242608060
1252606500
12626016380
12726033020
1282608320
12926033540
130260260
13126034060
1322608580
13326034580
13426017420

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 260? (The answer is: 1560). Select the first number (e.g. '120') and the second number (e.g. '260'). 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 260?

LCM of 120 and 260 is 1,560