LCM for 22 and 30
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 22 and 30?
(Three hundred thirty)
Finding LCM for 22 and 30 using GCF's of these numbers
The first method to find LCM for numbers 22 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 22 and 30 is 2, so
LCM = (22 × 30) ÷ 2
LCM = 660 ÷ 2
LCM = 330
Finding LCM for 22 and 30 by Listing Multiples
The second method to find LCM for numbers 22 and 30 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390
So the LCM for 22 and 30 is 330
Finding LCM for 22 and 30 by Prime Factorization
Another method to find LCM for numbers 22 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 22: 2, 11 (exponent form: 21, 111)
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
21 × 111 × 31 × 51 = 330
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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
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What's the Least Common Multiple (LCM) of 22 and 30?
See Also
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- Наименьшее общее кратное 22 и 30