LCM for 120 and 130

What's the Least Common Multiple (LCM) of 120 and 130?

Answer: LCM of 120 and 130 is 1,560

(One thousand, five hundred sixty)

Finding LCM for 120 and 130 using GCF's of these numbers

The first method to find LCM for numbers 120 and 130 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 120 and 130 is 10, so

LCM = (120 × 130) ÷ 10

LCM = 15600 ÷ 10

LCM = 1560

Finding LCM for 120 and 130 by Listing Multiples

The second method to find LCM for numbers 120 and 130 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 130: 130, 260, 390, 520, 650, 780, 910, 1040, 1170, 1300, 1430, 1560, 1690, 1820

So the LCM for 120 and 130 is 1560

Finding LCM for 120 and 130 by Prime Factorization

Another method to find LCM for numbers 120 and 130 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 130: 2, 5, 13 (exponent form: 21, 51, 131)

23 × 31 × 51 × 131 = 1560

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 120 and 130? (The answer is: 1560). Select the first number (e.g. '120') and the second number (e.g. '130'). 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
1051302730
1061306890
10713013910
1081307020
10913014170
1101301430
11113014430
1121307280
11313014690
1141307410
1151302990
1161307540
1171301170
1181307670
11913015470
120130
12113015730
1221307930
12313015990
1241308060
1251303250
1261308190
12713016510
1281308320
12913016770
130130130
13113017030
1321308580
13313017290
1341308710

FAQ

What's the Least Common Multiple (LCM) of 120 and 130?

LCM of 120 and 130 is 1,560