LCM for 70 and 230
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 70 and 230?
Answer
(One thousand, six hundred ten)
Finding LCM for 70 and 230 using GCF of these numbers
The first method to find LCM for numbers 70 and 230 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 70 and 230 is 10, so
LCM = (70 × 230) ÷ 10
LCM = 16100 ÷ 10
LCM = 1610
Finding LCM for 70 and 230 by Listing Multiples
The second method to find LCM for numbers 70 and 230 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750
Multiples of 230: 230, 460, 690, 920, 1150, 1380, 1610, 1840, 2070
So the LCM for 70 and 230 is 1610
Finding LCM for 70 and 230 by Prime Factorization
Another method to find LCM for numbers 70 and 230 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)
All Prime Factors of 230: 2, 5, 23 (exponent form: 21, 51, 231)
21 × 51 × 71 × 231 = 1610
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 70 and 230?
How to find the LCM of 70 and 230 using prime factorization?
What is the difference between LCM and GCF?
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