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LCM for 60 and 315

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 18900 ÷ 15

LCM = 1260

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 1260

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 = 1260

See Also

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What is the LCM of 60 and 315?. Find the LCM of 60 and 315 - the smallest common multiple of two integers.
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LCM Table

Number 1 Number 2 LCM
45 315 315
46 315 14490
47 315 14805
48 315 5040
49 315 2205
50 315 3150
51 315 5355
52 315 16380
53 315 16695
54 315 1890
55 315 3465
56 315 2520
57 315 5985
58 315 18270
59 315 18585
60 315 1260
61 315 19215
62 315 19530
63 315 315
64 315 20160
65 315 4095
66 315 6930
67 315 21105
68 315 21420
69 315 7245
70 315 630
71 315 22365
72 315 2520
73 315 22995
74 315 23310

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: 1260). 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

and

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