LCM for 60 and 260

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 260?

Answer

LCM of 60 and 260 is 780

(Seven hundred eighty)

Finding LCM for 60 and 260 using GCF of these numbers

The first method to find LCM for numbers 60 and 260 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 260 is 20, so

LCM = (60 × 260) ÷ 20

LCM = 15600 ÷ 20

LCM = 780

Finding LCM for 60 and 260 by Listing Multiples

The second method to find LCM for numbers 60 and 260 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900

Multiples of 260: 260, 520, 780, 1040, 1300

So the LCM for 60 and 260 is 780

Finding LCM for 60 and 260 by Prime Factorization

Another method to find LCM for numbers 60 and 260 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 260: 2, 2, 5, 13 (exponent form: 22, 51, 131)

22 × 31 × 51 × 131 = 780

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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 60 and 260? (The answer is: 780). Select the first number (e.g. '60') 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
452602340
462605980
4726012220
482603120
4926012740
502601300
5126013260
52260260
5326013780
542607020
552602860
562603640
5726014820
582607540
5926015340
60260780
6126015860
622608060
6326016380
642604160
65260260
662608580
6726017420
682604420
6926017940
702601820
7126018460
722604680
7326018980
742609620

FAQ

What's the Least Common Multiple (LCM) of 60 and 260?

LCM of 60 and 260 is 780

How to find the LCM of 60 and 260 using prime factorization?

To find the LCM of 60 and 260, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 780.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 60 and 260: LCM = 780, GCF = 20.

See Also