LCM for 70 and 180
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 70 and 180?
Answer
(One thousand, two hundred sixty)
Finding LCM for 70 and 180 using GCF of these numbers
The first method to find LCM for numbers 70 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 70 and 180 is 10, so
LCM = (70 × 180) ÷ 10
LCM = 12600 ÷ 10
LCM = 1260
Finding LCM for 70 and 180 by Listing Multiples
The second method to find LCM for numbers 70 and 180 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
Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620
So the LCM for 70 and 180 is 1260
Finding LCM for 70 and 180 by Prime Factorization
Another method to find LCM for numbers 70 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)
22 × 51 × 71 × 32 = 1260
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 180?
How to find the LCM of 70 and 180 using prime factorization?
What is the difference between LCM and GCF?
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