LCM for 60 and 66

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What's the Least Common Multiple (LCM) of 60 and 66?

Answer

LCM of 60 and 66 is
660

(Six hundred sixty)

Finding LCM for 60 and 66 using GCF of these numbers

The first method to find LCM for numbers 60 and 66 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 66 is 6, so

LCM = (60 × 66) ÷ 6

LCM = 3,960 ÷ 6

LCM = 660

Finding LCM for 60 and 66 by Listing Multiples

The second method to find LCM for numbers 60 and 66 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 66: 66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792

So the LCM for 60 and 66 is 660

Finding LCM for 60 and 66 by Prime Factorization

Another method to find LCM for numbers 60 and 66 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 66: 2, 3, 11 (exponent form: 21, 31, 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 66? (The answer is: 660). Select the first number (e.g. '60') and the second number (e.g. '66'). 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
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LCM Table

Number 1Number 2LCM
606060
6066660
6070420
6072360
6075300
6080240
6090180
60100300
60108540
60110660
601251,500
60132660
60135540
60140420
60150300
601551,860
60160480
601752,100
601852,220
601901,140
60210420
602152,580
60220660
602352,820
60240240
602452,940
602501,500
60260780
602753,300
60280840

FAQ

What's the Least Common Multiple (LCM) of 60 and 66?

LCM of 60 and 66 is 660

How to find the LCM of 60 and 66 using prime factorization?

To find the LCM of 60 and 66, 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 66: LCM = 660, GCF = 6.

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