LCM for 15 and 22
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 15 and 22?
(Three hundred thirty)
Finding LCM for 15 and 22 using GCF's of these numbers
The first method to find LCM for numbers 15 and 22 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 15 and 22 is 1, so
LCM = (15 × 22) ÷ 1
LCM = 330 ÷ 1
LCM = 330
Finding LCM for 15 and 22 by Listing Multiples
The second method to find LCM for numbers 15 and 22 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360
Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374
So the LCM for 15 and 22 is 330
Finding LCM for 15 and 22 by Prime Factorization
Another method to find LCM for numbers 15 and 22 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
All Prime Factors of 22: 2, 11 (exponent form: 21, 111)
31 × 51 × 21 × 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 15 and 22?
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- Наименьшее общее кратное 15 и 22