LCM for 60 and 320

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 320?

Answer

LCM of 60 and 320 is 960

(Nine hundred sixty)

Finding LCM for 60 and 320 using GCF of these numbers

The first method to find LCM for numbers 60 and 320 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 320 is 20, so

LCM = (60 × 320) ÷ 20

LCM = 19200 ÷ 20

LCM = 960

Finding LCM for 60 and 320 by Listing Multiples

The second method to find LCM for numbers 60 and 320 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, 960, 1020, 1080

Multiples of 320: 320, 640, 960, 1280, 1600

So the LCM for 60 and 320 is 960

Finding LCM for 60 and 320 by Prime Factorization

Another method to find LCM for numbers 60 and 320 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 320: 2, 2, 2, 2, 2, 2, 5 (exponent form: 26, 51)

26 × 31 × 51 = 960

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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 320? (The answer is: 960). Select the first number (e.g. '60') and the second number (e.g. '320'). 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
453202880
463207360
4732015040
48320960
4932015680
503201600
5132016320
523204160
5332016960
543208640
553203520
563202240
5732018240
583209280
5932018880
60320960
6132019520
623209920
6332020160
64320320
653204160
6632010560
6732021440
683205440
6932022080
703202240
7132022720
723202880
7332023360
7432011840

FAQ

What's the Least Common Multiple (LCM) of 60 and 320?

LCM of 60 and 320 is 960

How to find the LCM of 60 and 320 using prime factorization?

To find the LCM of 60 and 320, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 960.

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 320: LCM = 960, GCF = 20.

See Also