LCM for 8 and 35
What's the Least Common Multiple (LCM) of 8 and 35?
(Two hundred eighty)
Finding LCM for 8 and 35 using GCF's 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 nubmers and pick the first which matching:
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
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/8--35">What is the LCM of 8 and 35? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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