LCM for 64 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 64 and 360?

Answer: LCM of 64 and 360 is 2,880

(Two thousand, eight hundred eighty)

Finding LCM for 64 and 360 using GCF's of these numbers

The first method to find LCM for numbers 64 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 64 and 360 is 8, so

LCM = (64 × 360) ÷ 8

LCM = 23040 ÷ 8

LCM = 2880

Finding LCM for 64 and 360 by Listing Multiples

The second method to find LCM for numbers 64 and 360 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728, 1792, 1856, 1920, 1984, 2048, 2112, 2176, 2240, 2304, 2368, 2432, 2496, 2560, 2624, 2688, 2752, 2816, 2880, 2944, 3008

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600

So the LCM for 64 and 360 is 2880

Finding LCM for 64 and 360 by Prime Factorization

Another method to find LCM for numbers 64 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

26 × 32 × 51 = 2880

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LCM Table

Number 1Number 2LCM
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
753601800
763606840
7736027720
783604680

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 64 and 360? (The answer is: 2880). Select the first number (e.g. '64') 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

FAQ

What's the Least Common Multiple (LCM) of 64 and 360?

LCM of 64 and 360 is 2,880

See Also