LCM for 18 and 315

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 18 and 315?

Answer: LCM of 18 and 315 is 630

(Six hundred thirty)

Finding LCM for 18 and 315 using GCF's of these numbers

The first method to find LCM for numbers 18 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 315 is 9, so

LCM = (18 × 315) ÷ 9

LCM = 5670 ÷ 9

LCM = 630

Finding LCM for 18 and 315 by Listing Multiples

The second method to find LCM for numbers 18 and 315 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648, 666

Multiples of 315: 315, 630, 945, 1260

So the LCM for 18 and 315 is 630

Finding LCM for 18 and 315 by Prime Factorization

Another method to find LCM for numbers 18 and 315 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

21 × 32 × 51 × 71 = 630

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LCM Table

Number 1Number 2LCM
3315315
43151260
5315315
6315630
7315315
83152520
9315315
10315630
113153465
123151260
133154095
14315630
15315315
163155040
173155355
18315630
193155985
203151260
21315315
223156930
233157245
243152520
253151575
263158190
27315945
283151260
293159135
30315630
313159765
3231510080

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 18 and 315? (The answer is: 630). Select the first number (e.g. '18') 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 18 and 315?

LCM of 18 and 315 is 630

See Also