LCM for 8 and 35

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 8 and 35?

Answer

LCM of 8 and 35 is 280

(Two hundred eighty)

Finding LCM for 8 and 35 using GCF of these numbers

The first method to find LCM for numbers 8 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 8 and 35 is 1, so

LCM = (8 × 35) ÷ 1

LCM = 280 ÷ 1

LCM = 280

Finding LCM for 8 and 35 by Listing Multiples

The second method to find LCM for numbers 8 and 35 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296

Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350

So the LCM for 8 and 35 is 280

Finding LCM for 8 and 35 by Prime Factorization

Another method to find LCM for numbers 8 and 35 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 35: 5, 7 (exponent form: 51, 71)

23 × 51 × 71 = 280

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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 8 and 35? (The answer is: 280). Select the first number (e.g. '8') and the second number (e.g. '35'). 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
815120
81616
817136
81872
82040
821168
82288
82424
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
84848
849392
851408
852104
857456
858232
860120
8100200

FAQ

What's the Least Common Multiple (LCM) of 8 and 35?

LCM of 8 and 35 is 280

How to find the LCM of 8 and 35 using prime factorization?

To find the LCM of 8 and 35, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 280.

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 8 and 35: LCM = 280, GCF = 1.

See Also