LCM for 60 and 315

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What's the Least Common Multiple (LCM) of 60 and 315?

Answer

LCM of 60 and 315 is
1,260

(One thousand two hundred sixty)

Finding LCM for 60 and 315 using GCF of these numbers

The first method to find LCM for numbers 60 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 315 is 15, so

LCM = (60 × 315) ÷ 15

LCM = 18,900 ÷ 15

LCM = 1,260

Finding LCM for 60 and 315 by Listing Multiples

The second method to find LCM for numbers 60 and 315 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, 1140, 1200, 1260, 1320, 1380

Multiples of 315: 315, 630, 945, 1260, 1575, 1890

So the LCM for 60 and 315 is 1,260

Finding LCM for 60 and 315 by Prime Factorization

Another method to find LCM for numbers 60 and 315 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 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

22 × 32 × 51 × 71 = 1,260

See Also

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 315? (The answer is: 1,260). Select the first number (e.g. '60') and the second number (e.g. '315'). 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
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LCM Table

Number 1Number 2LCM
601752,100
601852,220
601901,140
60210420
602152,580
60220660
602352,820
60240240
602452,940
602501,500
60260780
602753,300
60280840
602901,740
602953,540
603151,260
60320960
60330660
603401,020
603451,380
60360360
603654,380
603702,220
60390780
604001,200
604102,460
604154,980
604302,580
604351,740
604455,340

FAQ

What's the Least Common Multiple (LCM) of 60 and 315?

LCM of 60 and 315 is 1,260

How to find the LCM of 60 and 315 using prime factorization?

To find the LCM of 60 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

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 315: LCM = 1,260, GCF = 15.

See Also