LCM for 10 and 34
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
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/10--34">What is the LCM of 10 and 34? - 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