LCM for 10 and 34
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 10 and 34?
(One hundred seventy)
Finding LCM for 10 and 34 using GCF's of these numbers
The first method to find LCM for numbers 10 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 34 is 2, so
LCM = (10 × 34) ÷ 2
LCM = 340 ÷ 2
LCM = 170
Finding LCM for 10 and 34 by Listing Multiples
The second method to find LCM for numbers 10 and 34 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190
Multiples of 34: 34, 68, 102, 136, 170, 204, 238
So the LCM for 10 and 34 is 170
Finding LCM for 10 and 34 by Prime Factorization
Another method to find LCM for numbers 10 and 34 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 10: 2, 5 (exponent form: 21, 51)
All Prime Factors of 34: 2, 17 (exponent form: 21, 171)
21 × 51 × 171 = 170
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 10 and 34?
See Also
- What is the LCM of 10 and 14?
- What is the LCM of 10 and 15?
- What is the LCM of 10 and 16?
- What is the LCM of 10 and 18?
- What is the LCM of 10 and 20?
- What is the LCM of 10 and 21?
- What is the LCM of 10 and 23?
- What is the LCM of 10 and 25?
- What is the LCM of 10 and 27?
- What is the LCM of 10 and 30?
- What is the LCM of 10 and 35?
- What is the LCM of 10 and 36?
- What is the LCM of 10 and 40?
- What is the LCM of 10 and 45?
- What is the LCM of 10 and 55?
- What is the LCM of 10 and 80?
- What is the LCM of 10 and 105?
- What is the LCM of 10 and 500?
- What is the LCM of 10 and 510?
- What is the LCM of 10 and 840?
- Наименьшее общее кратное 10 и 34