LCM for 6 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 6 and 60?

Answer

LCM of 6 and 60 is 60

(Sixty)

Finding LCM for 6 and 60 using GCF of these numbers

The first method to find LCM for numbers 6 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 6 and 60 is 6, so

LCM = (6 × 60) ÷ 6

LCM = 360 ÷ 6

LCM = 60

Finding LCM for 6 and 60 by Listing Multiples

The second method to find LCM for numbers 6 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

Multiples of 60: 60, 120, 180

So the LCM for 6 and 60 is 60

Finding LCM for 6 and 60 by Prime Factorization

Another method to find LCM for numbers 6 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 6: 2, 3 (exponent form: 21, 31)

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

22 × 31 × 51 = 60

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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 6 and 60? (The answer is: 60). Select the first number (e.g. '6') and the second number (e.g. '60'). 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
16060
26060
36060
46060
56060
66060
760420
860120
960180
106060
1160660
126060
1360780
1460420
156060
1660240
17601020
1860180
19601140
206060
2160420
2260660
23601380
2460120
2560300
2660780
2760540
2860420
29601740
306060

FAQ

What's the Least Common Multiple (LCM) of 6 and 60?

LCM of 6 and 60 is 60

How to find the LCM of 6 and 60 using prime factorization?

To find the LCM of 6 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 60.

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 6 and 60: LCM = 60, GCF = 6.

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