LCM for 60 and 330

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 330?

Answer

LCM of 60 and 330 is 660

(Six hundred sixty)

Finding LCM for 60 and 330 using GCF of these numbers

The first method to find LCM for numbers 60 and 330 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 330 is 30, so

LCM = (60 × 330) ÷ 30

LCM = 19800 ÷ 30

LCM = 660

Finding LCM for 60 and 330 by Listing Multiples

The second method to find LCM for numbers 60 and 330 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

Multiples of 330: 330, 660, 990, 1320

So the LCM for 60 and 330 is 660

Finding LCM for 60 and 330 by Prime Factorization

Another method to find LCM for numbers 60 and 330 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 330: 2, 3, 5, 11 (exponent form: 21, 31, 51, 111)

22 × 31 × 51 × 111 = 660

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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 330? (The answer is: 660). Select the first number (e.g. '60') and the second number (e.g. '330'). 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
45330990
463307590
4733015510
483302640
4933016170
503301650
513305610
523308580
5333017490
543302970
55330330
563309240
573306270
583309570
5933019470
60330660
6133020130
6233010230
633306930
6433010560
653304290
66330330
6733022110
6833011220
693307590
703302310
7133023430
723303960
7333024090
7433012210

FAQ

What's the Least Common Multiple (LCM) of 60 and 330?

LCM of 60 and 330 is 660

How to find the LCM of 60 and 330 using prime factorization?

To find the LCM of 60 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 660.

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 330: LCM = 660, GCF = 30.

See Also