LCM for 10 and 33
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 10 and 33?
Answer
(Three hundred thirty)
Finding LCM for 10 and 33 using GCF of these numbers
The first method to find LCM for numbers 10 and 33 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 33 is 1, so
LCM = (10 × 33) ÷ 1
LCM = 330 ÷ 1
LCM = 330
Finding LCM for 10 and 33 by Listing Multiples
The second method to find LCM for numbers 10 and 33 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350
Multiples of 33: 33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396
So the LCM for 10 and 33 is 330
Finding LCM for 10 and 33 by Prime Factorization
Another method to find LCM for numbers 10 and 33 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 33: 3, 11 (exponent form: 31, 111)
21 × 51 × 31 × 111 = 330
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 33?
How to find the LCM of 10 and 33 using prime factorization?
What is the difference between LCM and GCF?
See Also
- What is the LCM of 10 and 19?
- What is the LCM of 10 and 20?
- What is the LCM of 10 and 21?
- What is the LCM of 10 and 22?
- What is the LCM of 10 and 23?
- What is the LCM of 10 and 24?
- 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 31?
- What is the LCM of 10 and 34?
- What is the LCM of 10 and 35?
- What is the LCM of 10 and 36?
- What is the LCM of 10 and 38?
- What is the LCM of 10 and 40?
- What is the LCM of 10 and 41?
- What is the LCM of 10 and 43?
- What is the LCM of 10 and 45?
- What is the LCM of 10 and 48?
- What is the LCM of 10 and 55?
- Наименьшее общее кратное 10 и 33
- ¿Cuál es el MCM de 10 y 33?
- Qual é o MMC de 10 e 33?