LCM for 60 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 360?

Answer

LCM of 60 and 360 is 360

(Three hundred sixty)

Finding LCM for 60 and 360 using GCF of these numbers

The first method to find LCM for numbers 60 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 360 is 60, so

LCM = (60 × 360) ÷ 60

LCM = 21600 ÷ 60

LCM = 360

Finding LCM for 60 and 360 by Listing Multiples

The second method to find LCM for numbers 60 and 360 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

Multiples of 360: 360, 720, 1080

So the LCM for 60 and 360 is 360

Finding LCM for 60 and 360 by Prime Factorization

Another method to find LCM for numbers 60 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 32 × 51 = 360

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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 360? (The answer is: 360). Select the first number (e.g. '60') and the second number (e.g. '360'). 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
45360360
463608280
4736016920
48360720
4936017640
503601800
513606120
523604680
5336019080
543601080
553603960
563602520
573606840
5836010440
5936021240
60360360
6136021960
6236011160
633602520
643602880
653604680
663603960
6736024120
683606120
693608280
703602520
7136025560
72360360
7336026280
7436013320

FAQ

What's the Least Common Multiple (LCM) of 60 and 360?

LCM of 60 and 360 is 360

How to find the LCM of 60 and 360 using prime factorization?

To find the LCM of 60 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 360: LCM = 360, GCF = 60.

See Also