LCM for 18 and 68
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 18 and 68?
(Six hundred twelve)
Finding LCM for 18 and 68 using GCF's of these numbers
The first method to find LCM for numbers 18 and 68 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 18 and 68 is 2, so
LCM = (18 × 68) ÷ 2
LCM = 1224 ÷ 2
LCM = 612
Finding LCM for 18 and 68 by Listing Multiples
The second method to find LCM for numbers 18 and 68 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648
Multiples of 68: 68, 136, 204, 272, 340, 408, 476, 544, 612, 680, 748
So the LCM for 18 and 68 is 612
Finding LCM for 18 and 68 by Prime Factorization
Another method to find LCM for numbers 18 and 68 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)
All Prime Factors of 68: 2, 2, 17 (exponent form: 22, 171)
22 × 32 × 171 = 612
Related Calculations
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 18 and 68?
See Also
- What is the LCM of 18 and 34?
- What is the LCM of 18 and 35?
- What is the LCM of 18 and 36?
- What is the LCM of 18 and 38?
- What is the LCM of 18 and 42?
- What is the LCM of 18 and 45?
- What is the LCM of 18 and 48?
- What is the LCM of 18 and 54?
- What is the LCM of 18 and 60?
- What is the LCM of 18 and 64?
- What is the LCM of 18 and 72?
- What is the LCM of 18 and 77?
- What is the LCM of 18 and 81?
- What is the LCM of 18 and 90?
- What is the LCM of 18 and 100?
- What is the LCM of 18 and 180?
- What is the LCM of 18 and 225?
- What is the LCM of 18 and 252?
- What is the LCM of 19 and 20?
- What is the LCM of 19 and 21?
- Наименьшее общее кратное 18 и 68